## Multiples of 25

Multiples of 25 are numbers that can be expressed as $\mathrm{25\times n}$, where $n$ is an integer. These multiples are obtained through multiplication of 25 with whole numbers such as 1, 2, 3, and so on. In mathematics, the divisors of each multiple include 25 and its other factors. Multiples of 25 play a significant role in understanding number patterns and arithmetic operations.

## What are Multiples of 25?

**Multiples of 25 are numbers that result from multiplying 25 by an integer.** They can be expressed in the form 25×n, where n is any whole number. Examples include 25, 50, 75, and 100.

**Prime Factorization of 25:**5 × 5

**First 10 multiples of 25**: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250.

## For example, 75, 125, 150 and 225 are all multiples of 25, 352 is not a multiple of 25 for the following reasons:

Number | Calculation | Reason | Remainder |
---|---|---|---|

75 | 75÷25 = 3 | 75 is a multiple of 25 because it divides evenly. | 0 |

125 | 125÷25 = 5 | 125 is a multiple of 25 because it divides evenly. | 0 |

150 | 150÷25 = 6 | 150 is a multiple of 25 because it divides evenly. | 0 |

225 | 225÷25 = 9 | 225 is a multiple of 25 because it divides evenly. | 0 |

352 | 352÷25 = 14 | 352 is not a multiple of 25 because it does not divide evenly. | 2 |

## List of First 100 Multiples of 25 with Remainders

Number | Reason | Remainder |
---|---|---|

25 | 25 is a multiple of 25 because 25 × 1 = 25 | 0 |

50 | 50 is a multiple of 25 because 25 × 2 = 50 | 0 |

75 | 75 is a multiple of 25 because 25 × 3 = 75 | 0 |

100 | 100 is a multiple of 25 because 25 × 4 = 100 | 0 |

125 | 125 is a multiple of 25 because 25 × 5 = 125 | 0 |

150 | 150 is a multiple of 25 because 25 × 6 = 150 | 0 |

175 | 175 is a multiple of 25 because 25 × 7 = 175 | 0 |

200 | 200 is a multiple of 25 because 25 × 8 = 200 | 0 |

225 | 225 is a multiple of 25 because 25 × 9 = 225 | 0 |

250 | 250 is a multiple of 25 because 25 × 10 = 250 | 0 |

275 | 275 is a multiple of 25 because 25 × 11 = 275 | 0 |

300 | 300 is a multiple of 25 because 25 × 12 = 300 | 0 |

325 | 325 is a multiple of 25 because 25 × 13 = 325 | 0 |

350 | 350 is a multiple of 25 because 25 × 14 = 350 | 0 |

375 | 375 is a multiple of 25 because 25 × 15 = 375 | 0 |

400 | 400 is a multiple of 25 because 25 × 16 = 400 | 0 |

425 | 425 is a multiple of 25 because 25 × 17 = 425 | 0 |

450 | 450 is a multiple of 25 because 25 × 18 = 450 | 0 |

475 | 475 is a multiple of 25 because 25 × 19 = 475 | 0 |

500 | 500 is a multiple of 25 because 25 × 20 = 500 | 0 |

525 | 525 is a multiple of 25 because 25 × 21 = 525 | 0 |

550 | 550 is a multiple of 25 because 25 × 22 = 550 | 0 |

575 | 575 is a multiple of 25 because 25 × 23 = 575 | 0 |

600 | 600 is a multiple of 25 because 25 × 24 = 600 | 0 |

625 | 625 is a multiple of 25 because 25 × 25 = 625 | 0 |

650 | 650 is a multiple of 25 because 25 × 26 = 650 | 0 |

675 | 675 is a multiple of 25 because 25 × 27 = 675 | 0 |

700 | 700 is a multiple of 25 because 25 × 28 = 700 | 0 |

725 | 725 is a multiple of 25 because 25 × 29 = 725 | 0 |

750 | 750 is a multiple of 25 because 25 × 30 = 750 | 0 |

775 | 775 is a multiple of 25 because 25 × 31 = 775 | 0 |

800 | 800 is a multiple of 25 because 25 × 32 = 800 | 0 |

825 | 825 is a multiple of 25 because 25 × 33 = 825 | 0 |

850 | 850 is a multiple of 25 because 25 × 34 = 850 | 0 |

875 | 875 is a multiple of 25 because 25 × 35 = 875 | 0 |

900 | 900 is a multiple of 25 because 25 × 36 = 900 | 0 |

925 | 925 is a multiple of 25 because 25 × 37 = 925 | 0 |

950 | 950 is a multiple of 25 because 25 × 38 = 950 | 0 |

975 | 975 is a multiple of 25 because 25 × 39 = 975 | 0 |

1000 | 1000 is a multiple of 25 because 25 × 40 = 1000 | 0 |

1025 | 1025 is a multiple of 25 because 25 × 41 = 1025 | 0 |

1050 | 1050 is a multiple of 25 because 25 × 42 = 1050 | 0 |

1075 | 1075 is a multiple of 25 because 25 × 43 = 1075 | 0 |

1100 | 1100 is a multiple of 25 because 25 × 44 = 1100 | 0 |

1125 | 1125 is a multiple of 25 because 25 × 45 = 1125 | 0 |

1150 | 1150 is a multiple of 25 because 25 × 46 = 1150 | 0 |

1175 | 1175 is a multiple of 25 because 25 × 47 = 1175 | 0 |

1200 | 1200 is a multiple of 25 because 25 × 48 = 1200 | 0 |

1225 | 1225 is a multiple of 25 because 25 × 49 = 1225 | 0 |

1250 | 1250 is a multiple of 25 because 25 × 50 = 1250 | 0 |

1275 | 1275 is a multiple of 25 because 25 × 51 = 1275 | 0 |

1300 | 1300 is a multiple of 25 because 25 × 52 = 1300 | 0 |

1325 | 1325 is a multiple of 25 because 25 × 53 = 1325 | 0 |

1350 | 1350 is a multiple of 25 because 25 × 54 = 1350 | 0 |

1375 | 1375 is a multiple of 25 because 25 × 55 = 1375 | 0 |

1400 | 1400 is a multiple of 25 because 25 × 56 = 1400 | 0 |

1425 | 1425 is a multiple of 25 because 25 × 57 = 1425 | 0 |

1450 | 1450 is a multiple of 25 because 25 × 58 = 1450 | 0 |

1475 | 1475 is a multiple of 25 because 25 × 59 = 1475 | 0 |

1500 | 1500 is a multiple of 25 because 25 × 60 = 1500 | 0 |

1525 | 1525 is a multiple of 25 because 25 × 61 = 1525 | 0 |

1550 | 1550 is a multiple of 25 because 25 × 62 = 1550 | 0 |

1575 | 1575 is a multiple of 25 because 25 × 63 = 1575 | 0 |

1600 | 1600 is a multiple of 25 because 25 × 64 = 1600 | 0 |

1625 | 1625 is a multiple of 25 because 25 × 65 = 1625 | 0 |

1650 | 1650 is a multiple of 25 because 25 × 66 = 1650 | 0 |

1675 | 1675 is a multiple of 25 because 25 × 67 = 1675 | 0 |

1700 | 1700 is a multiple of 25 because 25 × 68 = 1700 | 0 |

1725 | 1725 is a multiple of 25 because 25 × 69 = 1725 | 0 |

1750 | 1750 is a multiple of 25 because 25 × 70 = 1750 | 0 |

1775 | 1775 is a multiple of 25 because 25 × 71 = 1775 | 0 |

1800 | 1800 is a multiple of 25 because 25 × 72 = 1800 | 0 |

1825 | 1825 is a multiple of 25 because 25 × 73 = 1825 | 0 |

1850 | 1850 is a multiple of 25 because 25 × 74 = 1850 | 0 |

1875 | 1875 is a multiple of 25 because 25 × 75 = 1875 | 0 |

1900 | 1900 is a multiple of 25 because 25 × 76 = 1900 | 0 |

1925 | 1925 is a multiple of 25 because 25 × 77 = 1925 | 0 |

1950 | 1950 is a multiple of 25 because 25 × 78 = 1950 | 0 |

1975 | 1975 is a multiple of 25 because 25 × 79 = 1975 | 0 |

2000 | 2000 is a multiple of 25 because 25 × 80 = 2000 | 0 |

2025 | 2025 is a multiple of 25 because 25 × 81 = 2025 | 0 |

2050 | 2050 is a multiple of 25 because 25 × 82 = 2050 | 0 |

2075 | 2075 is a multiple of 25 because 25 × 83 = 2075 | 0 |

2100 | 2100 is a multiple of 25 because 25 × 84 = 2100 | 0 |

2125 | 2125 is a multiple of 25 because 25 × 85 = 2125 | 0 |

2150 | 2150 is a multiple of 25 because 25 × 86 = 2150 | 0 |

2175 | 2175 is a multiple of 25 because 25 × 87 = 2175 | 0 |

2200 | 2200 is a multiple of 25 because 25 × 88 = 2200 | 0 |

2225 | 2225 is a multiple of 25 because 25 × 89 = 2225 | 0 |

2250 | 2250 is a multiple of 25 because 25 × 90 = 2250 | 0 |

2275 | 2275 is a multiple of 25 because 25 × 91 = 2275 | 0 |

2300 | 2300 is a multiple of 25 because 25 × 92 = 2300 | 0 |

2325 | 2325 is a multiple of 25 because 25 × 93 = 2325 | 0 |

2350 | 2350 is a multiple of 25 because 25 × 94 = 2350 | 0 |

2375 | 2375 is a multiple of 25 because 25 × 95 = 2375 | 0 |

2400 | 2400 is a multiple of 25 because 25 × 96 = 2400 | 0 |

2425 | 2425 is a multiple of 25 because 25 × 97 = 2425 | 0 |

2450 | 2450 is a multiple of 25 because 25 × 98 = 2450 | 0 |

2475 | 2475 is a multiple of 25 because 25 × 99 = 2475 | 0 |

2500 | 2500 is a multiple of 25 because 25 × 100 = 2500 | 0 |

## Read More About Multiples of 25

## Important Notes

### Definition of Multiples

**Multiples of 25**are the results of multiplying 25 by whole numbers.- Mathematically, they can be represented as 25×n, where n is an integer.

### 2. First Few Multiples of 25

The first few multiples of 25 are:

- 25 × 1 = 25
- 25 × 2 = 50
- 25 × 3 = 75
- 25 × 4 = 100
- 25 × 5 = 125
- 25 × 6 = 150
- 25 × 7 = 175
- 25 × 8 = 200
- 25 × 9 = 225
- 25 × 10 = 250

### 3. Patterns in Multiples of 25

**Regular Intervals**: Each multiple of 25 is exactly 25 more than the previous multiple.**End Digits**: Multiples of 25 end in 00, 25, 50, or 75.

### 4. Real-life Applications

**Currency**: Multiples of 25 are commonly used in money transactions, especially in denominations like quarters (25 cents) in the US.**Measurement Units**: Multiples of 25 are used in various measurement units, such as in packages of goods or intervals of measurement.

### 5. Identifying Multiples of 25

**Divisibility Rule**: A number is a multiple of 25 if its last two digits form a number that is divisible by 25.**Quick Check**: For example, 375 ends in 75, which is divisible by 25, so 375 is a multiple of 25.

## Examples on Multiples of 25

### 1. **Finding the Cost of Multiple Items**

**Example:** If each chair costs $25, how much would 8 chairs cost?

Total Cost = 25×8=200. The total cost for 8 chairs is $200.

### 2. **Calculating Time Intervals**

**Example:** A bus arrives at a bus stop every 25 minutes. If the first bus arrives at 7:00 AM, at what times will the next three buses arrive?

- First bus: 7:00 AM
- Second bus: 7:00+25 minutes = 7:25 AM
- Third bus: 7:25+25 minutes = 7:50 AM
- Fourth bus: 7:50+25 minutes = 8:15 AM

The next three buses will arrive at 7:25 AM, 7:50 AM, and 8:15 AM.

### 3. **Multiplying to Find Large Quantities**

**Example:** A factory produces 25 units of a product every hour. How many units are produced in a 10-hour workday?

Total Units = 25×10 = 250. The factory produces 250 units in a 10-hour workday.

### 4. **Distributing Items Equally**

**Example:** You have 100 candies and want to distribute them equally among 4 friends. How many candies does each friend get?

Candies per Friend = 100/4 = 25. Each friend gets 25 candies.

### 5. **Calculating Discounts**

**Example:** A store is offering a discount of $25 on every purchase of $100 or more. If you buy items worth $300, how much discount do you get?

Discount = ⌊300/100⌋×25 = 3×25 = 75. The total discount is $75.

### 6. **Budgeting**

**Example:** If you save $25 every week, how much money will you have saved after 1 year (52 weeks)?

Total Savings = 25×52 = 1300. You will have saved $1300 after 1 year.

### 7. **Finding Common Multiples**

**Example:** What is the least common multiple (LCM) of 25 and 50?

- Multiples of 25: 25, 50, 75, 100, …
- Multiples of 50: 50, 100, 150, …
- Common multiples: 50, 100, …

The least common multiple (LCM) of 25 and 50 is 50.

### 8. **Scaling Recipes**

**Example:** A recipe requires 25 grams of sugar per serving. How much sugar is needed for 6 servings?

Total Sugar = 25×6 = 150 grams. You need 150 grams of sugar for 6 servings.

### 9. **Understanding Patterns**

**Example:** If a pattern repeats every 25th term, what will be the 75th term in the pattern?

Since the pattern repeats every 25th term: 75÷25 = 3. The 75th term will be the same as the 25th term.

### 10. **Project Planning**

**Example:** A project manager allocates 25 hours per week to a project. How many hours will be spent on the project over 4 weeks?

**Solution:** Total Hours = 25×4 = 100 The project manager will spend 100 hours on the project over 4 weeks.

## FAQs

## What are the first five multiples of 25?

The first five multiples of 25 are 25, 50, 75, 100, and 125.

## How can I determine if a number is a multiple of 25?

A number is a multiple of 25 if it ends in 00, 25, 50, or 75.

## Are all multiples of 25 also multiples of 5?

Yes, all multiples of 25 are also multiples of 5 since 25 is a multiple of 5.

## Is 250 a multiple of 25?

Yes, 250 is a multiple of 25 because 250 divided by 25 equals 10.

## What is the 10th multiple of 25?

The 10th multiple of 25 is 250 (25 x 10 = 250).

## Are there any negative multiples of 25?

Yes, negative multiples of 25 include -25, -50, -75, -100, and so on.

## What is the least common multiple (LCM) of 25 and 30?

The least common multiple of 25 and 30 is 150.

## How can I use multiples of 25 in everyday life?

Multiples of 25 are often used in financial transactions, such as in counting money (quarters) and setting price points.

## What is the multiple of 25 that comes after 375?

The multiple of 25 that comes after 375 is 400 (375 + 25 = 400).

## How are multiples of 25 useful in time management?

Multiples of 25 are useful in time management for setting work intervals, such as the Pomodoro Technique, which often uses 25-minute work periods.