## Multiples of 98

Multiples of 98 are numbers that can be obtained by multiplying 98 by any integer. In mathematics, a multiple of a number is the product of that number and an integer. For example, 98, 196, and 294 are multiples of 98, found by multiplying 98 with 1, 2, and 3 respectively. These multiples include both positive and negative values, as multiplying by negative integers yields negative multiples. Understanding multiples is essential in number theory, as they help in identifying divisors, factors, and relationships between numbers.

## What are Multiples of 98?

**Multiples of 98 are numbers obtained by multiplying 98 with whole numbers (integers).** These include 98, 196, 294, and so on. Each multiple can be expressed as 98n, where n is an integer.

**Prime Factorization of 98:**2 x 7 x 7

**First 10 Multiples of 98 are**98, 196, 294, 392, 490, 588, 686, 784, 882, 980.

## For example, 294, 490, 686 and 882 are all multiples of 98, 900 is not a multiple of 98 for the following reasons:

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

294 | 294 is a multiple of 98 because 98 × 3 = 294 | 0 |

490 | 490 is a multiple of 98 because 98 × 5 = 490 | 0 |

686 | 686 is a multiple of 98 because 98 × 7 = 686 | 0 |

882 | 882 is a multiple of 98 because 98 × 9 = 882 | 0 |

900 | 900 is not a multiple of 98 because 98 × 9 = 882 with a remainder of 18 | 18 |

## List of First 100 Multiples of 98 with Remainders

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

98 | 98 is a multiple of 98 because 98 × 1 = 98 | 0 |

196 | 196 is a multiple of 98 because 98 × 2 = 196 | 0 |

294 | 294 is a multiple of 98 because 98 × 3 = 294 | 0 |

392 | 392 is a multiple of 98 because 98 × 4 = 392 | 0 |

490 | 490 is a multiple of 98 because 98 × 5 = 490 | 0 |

588 | 588 is a multiple of 98 because 98 × 6 = 588 | 0 |

686 | 686 is a multiple of 98 because 98 × 7 = 686 | 0 |

784 | 784 is a multiple of 98 because 98 × 8 = 784 | 0 |

882 | 882 is a multiple of 98 because 98 × 9 = 882 | 0 |

980 | 980 is a multiple of 98 because 98 × 10 = 980 | 0 |

1078 | 1078 is a multiple of 98 because 98 × 11 = 1078 | 0 |

1176 | 1176 is a multiple of 98 because 98 × 12 = 1176 | 0 |

1274 | 1274 is a multiple of 98 because 98 × 13 = 1274 | 0 |

1372 | 1372 is a multiple of 98 because 98 × 14 = 1372 | 0 |

1470 | 1470 is a multiple of 98 because 98 × 15 = 1470 | 0 |

1568 | 1568 is a multiple of 98 because 98 × 16 = 1568 | 0 |

1666 | 1666 is a multiple of 98 because 98 × 17 = 1666 | 0 |

1764 | 1764 is a multiple of 98 because 98 × 18 = 1764 | 0 |

1862 | 1862 is a multiple of 98 because 98 × 19 = 1862 | 0 |

1960 | 1960 is a multiple of 98 because 98 × 20 = 1960 | 0 |

2058 | 2058 is a multiple of 98 because 98 × 21 = 2058 | 0 |

2156 | 2156 is a multiple of 98 because 98 × 22 = 2156 | 0 |

2254 | 2254 is a multiple of 98 because 98 × 23 = 2254 | 0 |

2352 | 2352 is a multiple of 98 because 98 × 24 = 2352 | 0 |

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

2548 | 2548 is a multiple of 98 because 98 × 26 = 2548 | 0 |

2646 | 2646 is a multiple of 98 because 98 × 27 = 2646 | 0 |

2744 | 2744 is a multiple of 98 because 98 × 28 = 2744 | 0 |

2842 | 2842 is a multiple of 98 because 98 × 29 = 2842 | 0 |

2940 | 2940 is a multiple of 98 because 98 × 30 = 2940 | 0 |

3038 | 3038 is a multiple of 98 because 98 × 31 = 3038 | 0 |

3136 | 3136 is a multiple of 98 because 98 × 32 = 3136 | 0 |

3234 | 3234 is a multiple of 98 because 98 × 33 = 3234 | 0 |

3332 | 3332 is a multiple of 98 because 98 × 34 = 3332 | 0 |

3430 | 3430 is a multiple of 98 because 98 × 35 = 3430 | 0 |

3528 | 3528 is a multiple of 98 because 98 × 36 = 3528 | 0 |

3626 | 3626 is a multiple of 98 because 98 × 37 = 3626 | 0 |

3724 | 3724 is a multiple of 98 because 98 × 38 = 3724 | 0 |

3822 | 3822 is a multiple of 98 because 98 × 39 = 3822 | 0 |

3920 | 3920 is a multiple of 98 because 98 × 40 = 3920 | 0 |

4018 | 4018 is a multiple of 98 because 98 × 41 = 4018 | 0 |

4116 | 4116 is a multiple of 98 because 98 × 42 = 4116 | 0 |

4214 | 4214 is a multiple of 98 because 98 × 43 = 4214 | 0 |

4312 | 4312 is a multiple of 98 because 98 × 44 = 4312 | 0 |

4410 | 4410 is a multiple of 98 because 98 × 45 = 4410 | 0 |

4508 | 4508 is a multiple of 98 because 98 × 46 = 4508 | 0 |

4606 | 4606 is a multiple of 98 because 98 × 47 = 4606 | 0 |

4704 | 4704 is a multiple of 98 because 98 × 48 = 4704 | 0 |

4802 | 4802 is a multiple of 98 because 98 × 49 = 4802 | 0 |

4900 | 4900 is a multiple of 98 because 98 × 50 = 4900 | 0 |

4998 | 4998 is a multiple of 98 because 98 × 51 = 4998 | 0 |

5096 | 5096 is a multiple of 98 because 98 × 52 = 5096 | 0 |

5194 | 5194 is a multiple of 98 because 98 × 53 = 5194 | 0 |

5292 | 5292 is a multiple of 98 because 98 × 54 = 5292 | 0 |

5390 | 5390 is a multiple of 98 because 98 × 55 = 5390 | 0 |

5488 | 5488 is a multiple of 98 because 98 × 56 = 5488 | 0 |

5586 | 5586 is a multiple of 98 because 98 × 57 = 5586 | 0 |

5684 | 5684 is a multiple of 98 because 98 × 58 = 5684 | 0 |

5782 | 5782 is a multiple of 98 because 98 × 59 = 5782 | 0 |

5880 | 5880 is a multiple of 98 because 98 × 60 = 5880 | 0 |

5978 | 5978 is a multiple of 98 because 98 × 61 = 5978 | 0 |

6076 | 6076 is a multiple of 98 because 98 × 62 = 6076 | 0 |

6174 | 6174 is a multiple of 98 because 98 × 63 = 6174 | 0 |

6272 | 6272 is a multiple of 98 because 98 × 64 = 6272 | 0 |

6370 | 6370 is a multiple of 98 because 98 × 65 = 6370 | 0 |

6468 | 6468 is a multiple of 98 because 98 × 66 = 6468 | 0 |

6566 | 6566 is a multiple of 98 because 98 × 67 = 6566 | 0 |

6664 | 6664 is a multiple of 98 because 98 × 68 = 6664 | 0 |

6762 | 6762 is a multiple of 98 because 98 × 69 = 6762 | 0 |

6860 | 6860 is a multiple of 98 because 98 × 70 = 6860 | 0 |

6958 | 6958 is a multiple of 98 because 98 × 71 = 6958 | 0 |

7056 | 7056 is a multiple of 98 because 98 × 72 = 7056 | 0 |

7154 | 7154 is a multiple of 98 because 98 × 73 = 7154 | 0 |

7252 | 7252 is a multiple of 98 because 98 × 74 = 7252 | 0 |

7350 | 7350 is a multiple of 98 because 98 × 75 = 7350 | 0 |

7448 | 7448 is a multiple of 98 because 98 × 76 = 7448 | 0 |

7546 | 7546 is a multiple of 98 because 98 × 77 = 7546 | 0 |

7644 | 7644 is a multiple of 98 because 98 × 78 = 7644 | 0 |

7742 | 7742 is a multiple of 98 because 98 × 79 = 7742 | 0 |

7840 | 7840 is a multiple of 98 because 98 × 80 = 7840 | 0 |

7938 | 7938 is a multiple of 98 because 98 × 81 = 7938 | 0 |

8036 | 8036 is a multiple of 98 because 98 × 82 = 8036 | 0 |

8134 | 8134 is a multiple of 98 because 98 × 83 = 8134 | 0 |

8232 | 8232 is a multiple of 98 because 98 × 84 = 8232 | 0 |

8330 | 8330 is a multiple of 98 because 98 × 85 = 8330 | 0 |

8428 | 8428 is a multiple of 98 because 98 × 86 = 8428 | 0 |

8526 | 8526 is a multiple of 98 because 98 × 87 = 8526 | 0 |

8624 | 8624 is a multiple of 98 because 98 × 88 = 8624 | 0 |

8722 | 8722 is a multiple of 98 because 98 × 89 = 8722 | 0 |

8820 | 8820 is a multiple of 98 because 98 × 90 = 8820 | 0 |

8918 | 8918 is a multiple of 98 because 98 × 91 = 8918 | 0 |

9016 | 9016 is a multiple of 98 because 98 × 92 = 9016 | 0 |

9114 | 9114 is a multiple of 98 because 98 × 93 = 9114 | 0 |

9212 | 9212 is a multiple of 98 because 98 × 94 = 9212 | 0 |

9310 | 9310 is a multiple of 98 because 98 × 95 = 9310 | 0 |

9408 | 9408 is a multiple of 98 because 98 × 96 = 9408 | 0 |

9506 | 9506 is a multiple of 98 because 98 × 97 = 9506 | 0 |

9604 | 9604 is a multiple of 98 because 98 × 98 = 9604 | 0 |

9702 | 9702 is a multiple of 98 because 98 × 99 = 9702 | 0 |

9800 | 9800 is a multiple of 98 because 98 × 100 = 9800 | 0 |

## Read More About Multiples of 98

## Important Notes

### Step 1: Definition of Multiples

**Multiples** of a number are the result of multiplying that number by an integer. In this case, a multiple of 98 is any number that can be expressed as 98×n, where n is an integer.

### Step 2: Finding Initial Multiples of 98

To find the first few multiples of 98, we multiply 98 by the first few positive integers:

- 98×1 = 98
- 98×2 = 196
- 98×3 = 294
- 98×4 = 392
- 98×5 = 490

### Step 3: Properties of Multiples of 98

Multiples of 98 share several common properties:

**Divisibility:**All multiples of 98 are divisible by 98.**Even Numbers:**Since 98 is even, all multiples of 98 are also even.**Common Factor:**98 can be factorized into 2×7×7. Therefore, all multiples of 98 have at least these factors.

### Step 4: General Formula for Multiples of 98

The general formula to find any multiple of 98 is: Multiple of 98 = 98×n where n is any integer (positive, negative, or zero).

### Step 5: Examples and Patterns

Here are some more examples to illustrate the pattern:

- 98×6 = 588
- 98×7 = 686
- 98×10 = 980
- 98×15 = 1470

## Examples on Multiples of 98

### Simple Multiples of 98

- 392: 98×4 = 392
- 980: 98×10 = 980
- 1568: 98×16 = 1568

### Larger Multiples of 98

- 4900: 98×50 = 4900
- 9800: 98×100 = 9800
- 19600: 98×200 = 19600

### Real-Life Examples of Multiples of 98

**Time:**If you have 980 minutes, it is a multiple of 98 because 98×10 = 980.**Distance:**A journey of 4900 kilometers is a multiple of 98 because 98×50 = 4900.**Measurement:**A field measuring 9800 square meters is a multiple of 98 because 98×100 = 9800.

## Practical Examples of Multiples of 98

### What is the 15th multiple of 98?

The 15th multiple of 98 is 98×15 = 1470.

### Is 490 a multiple of 98?

Yes, 490 is a multiple of 98 because 98×5 = 490.

### What is the next multiple of 98 after 1960?

The next multiple of 98 after 1960 is 1960+98 = 2058.

### Find the 25th multiple of 98.

The 25th multiple of 98 is 98×25 = 2450.

### Is 713 a multiple of 98?

No, 713 is not a multiple of 98 because it cannot be expressed as 98×n where n is an integer.

## FAQs

## What are multiples of 98?

Multiples of 98 are numbers that can be expressed as 98 multiplied by an integer. For example, 98, 196, 294, and so on.

## How do you find the 5th multiple of 98?

To find the 5th multiple of 98, multiply 98 by 5: 98 × 5 = 490.

## Is 784 a multiple of 98?

Yes, 784 is a multiple of 98 because 784 divided by 98 equals 8, an integer (98 × 8 = 784).

## What is the smallest multiple of 98?

The smallest multiple of 98 is 98 itself (98 × 1 = 98).

## What is the next multiple of 98 after 490?

The next multiple of 98 after 490 is 490 + 98 = 588.

## How do you determine if a number is a multiple of 98?

To determine if a number is a multiple of 98, divide the number by 98. If the result is an integer, the number is a multiple of 98.

## What is the 10th multiple of 98?

The 10th multiple of 98 is 98 × 10 = 980.

## Are multiples of 98 also multiples of 7?

Yes, multiples of 98 are also multiples of 7 because 98 is 7 × 14, making 98 a multiple of 7.

## Can negative numbers be multiples of 98?

Yes, negative numbers can be multiples of 98. For example, -98, -196, and -294 are multiples of 98.

## What is the largest multiple of 98 within 1000?

The largest multiple of 98 within 1000 is 98 × 10 = 980, as 98 × 11 = 1078 exceeds 1000.