## Multiples of 33

Multiples of 33 are the numbers you get when you multiply 33 by an integer. These numbers are part of the broader category of multiples, where each multiple is the product of 33 and a whole number. Understanding multiples involves recognizing their relationship with factors and divisors; specifically, any multiple of 33 can be divided by 33 without leaving a remainder. By studying these multiples, we delve into important concepts in mathematics, such as multiplication and the properties of numbers.

## What are Multiples of 33?

**Prime Factorization of 33:**3×11

**First 10 Multiples of 33 are**33, 66, 99, 132, 165, 198, 231, 264, 297, 330.

## For example, 66, 132, 231 and 297 are all multiples of 33, 700 is not a multiple of 33 for the following reasons:

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

66 | 66÷33 = 2 | 66 is a multiple of 33 because it divides evenly. | 0 |

132 | 132÷33 = 4 | 132 is a multiple of 33 because it divides evenly. | 0 |

231 | 231÷33 = 7 | 231 is a multiple of 33 because it divides evenly. | 0 |

297 | 297÷33 = 9 | 297 is a multiple of 33 because it divides evenly. | 0 |

700 | 700÷33 = 21 | 700 is not a multiple of 33 because it does not divide evenly. | 7 |

## List of First 100 Multiples of 33 with Remainders

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

33 | 33 is a multiple of 33 because 33 × 1 = 33 | 0 |

66 | 66 is a multiple of 33 because 33 × 2 = 66 | 0 |

99 | 99 is a multiple of 33 because 33 × 3 = 99 | 0 |

132 | 132 is a multiple of 33 because 33 × 4 = 132 | 0 |

165 | 165 is a multiple of 33 because 33 × 5 = 165 | 0 |

198 | 198 is a multiple of 33 because 33 × 6 = 198 | 0 |

231 | 231 is a multiple of 33 because 33 × 7 = 231 | 0 |

264 | 264 is a multiple of 33 because 33 × 8 = 264 | 0 |

297 | 297 is a multiple of 33 because 33 × 9 = 297 | 0 |

330 | 330 is a multiple of 33 because 33 × 10 = 330 | 0 |

363 | 363 is a multiple of 33 because 33 × 11 = 363 | 0 |

396 | 396 is a multiple of 33 because 33 × 12 = 396 | 0 |

429 | 429 is a multiple of 33 because 33 × 13 = 429 | 0 |

462 | 462 is a multiple of 33 because 33 × 14 = 462 | 0 |

495 | 495 is a multiple of 33 because 33 × 15 = 495 | 0 |

528 | 528 is a multiple of 33 because 33 × 16 = 528 | 0 |

561 | 561 is a multiple of 33 because 33 × 17 = 561 | 0 |

594 | 594 is a multiple of 33 because 33 × 18 = 594 | 0 |

627 | 627 is a multiple of 33 because 33 × 19 = 627 | 0 |

660 | 660 is a multiple of 33 because 33 × 20 = 660 | 0 |

693 | 693 is a multiple of 33 because 33 × 21 = 693 | 0 |

726 | 726 is a multiple of 33 because 33 × 22 = 726 | 0 |

759 | 759 is a multiple of 33 because 33 × 23 = 759 | 0 |

792 | 792 is a multiple of 33 because 33 × 24 = 792 | 0 |

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

858 | 858 is a multiple of 33 because 33 × 26 = 858 | 0 |

891 | 891 is a multiple of 33 because 33 × 27 = 891 | 0 |

924 | 924 is a multiple of 33 because 33 × 28 = 924 | 0 |

957 | 957 is a multiple of 33 because 33 × 29 = 957 | 0 |

990 | 990 is a multiple of 33 because 33 × 30 = 990 | 0 |

1023 | 1023 is a multiple of 33 because 33 × 31 = 1023 | 0 |

1056 | 1056 is a multiple of 33 because 33 × 32 = 1056 | 0 |

1089 | 1089 is a multiple of 33 because 33 × 33 = 1089 | 0 |

1122 | 1122 is a multiple of 33 because 33 × 34 = 1122 | 0 |

1155 | 1155 is a multiple of 33 because 33 × 35 = 1155 | 0 |

1188 | 1188 is a multiple of 33 because 33 × 36 = 1188 | 0 |

1221 | 1221 is a multiple of 33 because 33 × 37 = 1221 | 0 |

1254 | 1254 is a multiple of 33 because 33 × 38 = 1254 | 0 |

1287 | 1287 is a multiple of 33 because 33 × 39 = 1287 | 0 |

1320 | 1320 is a multiple of 33 because 33 × 40 = 1320 | 0 |

1353 | 1353 is a multiple of 33 because 33 × 41 = 1353 | 0 |

1386 | 1386 is a multiple of 33 because 33 × 42 = 1386 | 0 |

1419 | 1419 is a multiple of 33 because 33 × 43 = 1419 | 0 |

1452 | 1452 is a multiple of 33 because 33 × 44 = 1452 | 0 |

1485 | 1485 is a multiple of 33 because 33 × 45 = 1485 | 0 |

1518 | 1518 is a multiple of 33 because 33 × 46 = 1518 | 0 |

1551 | 1551 is a multiple of 33 because 33 × 47 = 1551 | 0 |

1584 | 1584 is a multiple of 33 because 33 × 48 = 1584 | 0 |

1617 | 1617 is a multiple of 33 because 33 × 49 = 1617 | 0 |

1650 | 1650 is a multiple of 33 because 33 × 50 = 1650 | 0 |

1683 | 1683 is a multiple of 33 because 33 × 51 = 1683 | 0 |

1716 | 1716 is a multiple of 33 because 33 × 52 = 1716 | 0 |

1749 | 1749 is a multiple of 33 because 33 × 53 = 1749 | 0 |

1782 | 1782 is a multiple of 33 because 33 × 54 = 1782 | 0 |

1815 | 1815 is a multiple of 33 because 33 × 55 = 1815 | 0 |

1848 | 1848 is a multiple of 33 because 33 × 56 = 1848 | 0 |

1881 | 1881 is a multiple of 33 because 33 × 57 = 1881 | 0 |

1914 | 1914 is a multiple of 33 because 33 × 58 = 1914 | 0 |

1947 | 1947 is a multiple of 33 because 33 × 59 = 1947 | 0 |

1980 | 1980 is a multiple of 33 because 33 × 60 = 1980 | 0 |

2013 | 2013 is a multiple of 33 because 33 × 61 = 2013 | 0 |

2046 | 2046 is a multiple of 33 because 33 × 62 = 2046 | 0 |

2079 | 2079 is a multiple of 33 because 33 × 63 = 2079 | 0 |

2112 | 2112 is a multiple of 33 because 33 × 64 = 2112 | 0 |

2145 | 2145 is a multiple of 33 because 33 × 65 = 2145 | 0 |

2178 | 2178 is a multiple of 33 because 33 × 66 = 2178 | 0 |

2211 | 2211 is a multiple of 33 because 33 × 67 = 2211 | 0 |

2244 | 2244 is a multiple of 33 because 33 × 68 = 2244 | 0 |

2277 | 2277 is a multiple of 33 because 33 × 69 = 2277 | 0 |

2310 | 2310 is a multiple of 33 because 33 × 70 = 2310 | 0 |

2343 | 2343 is a multiple of 33 because 33 × 71 = 2343 | 0 |

2376 | 2376 is a multiple of 33 because 33 × 72 = 2376 | 0 |

2409 | 2409 is a multiple of 33 because 33 × 73 = 2409 | 0 |

2442 | 2442 is a multiple of 33 because 33 × 74 = 2442 | 0 |

2475 | 2475 is a multiple of 33 because 33 × 75 = 2475 | 0 |

2508 | 2508 is a multiple of 33 because 33 × 76 = 2508 | 0 |

2541 | 2541 is a multiple of 33 because 33 × 77 = 2541 | 0 |

2574 | 2574 is a multiple of 33 because 33 × 78 = 2574 | 0 |

2607 | 2607 is a multiple of 33 because 33 × 79 = 2607 | 0 |

2640 | 2640 is a multiple of 33 because 33 × 80 = 2640 | 0 |

2673 | 2673 is a multiple of 33 because 33 × 81 = 2673 | 0 |

2706 | 2706 is a multiple of 33 because 33 × 82 = 2706 | 0 |

2739 | 2739 is a multiple of 33 because 33 × 83 = 2739 | 0 |

2772 | 2772 is a multiple of 33 because 33 × 84 = 2772 | 0 |

2805 | 2805 is a multiple of 33 because 33 × 85 = 2805 | 0 |

2838 | 2838 is a multiple of 33 because 33 × 86 = 2838 | 0 |

2871 | 2871 is a multiple of 33 because 33 × 87 = 2871 | 0 |

2904 | 2904 is a multiple of 33 because 33 × 88 = 2904 | 0 |

2937 | 2937 is a multiple of 33 because 33 × 89 = 2937 | 0 |

2970 | 2970 is a multiple of 33 because 33 × 90 = 2970 | 0 |

3003 | 3003 is a multiple of 33 because 33 × 91 = 3003 | 0 |

3036 | 3036 is a multiple of 33 because 33 × 92 = 3036 | 0 |

3069 | 3069 is a multiple of 33 because 33 × 93 = 3069 | 0 |

3102 | 3102 is a multiple of 33 because 33 × 94 = 3102 | 0 |

3135 | 3135 is a multiple of 33 because 33 × 95 = 3135 | 0 |

3168 | 3168 is a multiple of 33 because 33 × 96 = 3168 | 0 |

3201 | 3201 is a multiple of 33 because 33 × 97 = 3201 | 0 |

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

3267 | 3267 is a multiple of 33 because 33 × 99 = 3267 | 0 |

3300 | 3300 is a multiple of 33 because 33 × 100 = 3300 | 0 |

## Read More About Multiples of 33

## Important Notes

**Definition**: A multiple of 33 is any number that can be expressed as 33×n, where n is an integer.**Sequence**: The sequence of multiples of 33 starts as 33, 66, 99, 132, 165, and continues with an increment of 33.**Divisibility**: A number is a multiple of 33 if and only if it is divisible by both 3 and 11, since 33 = 3×11.**Common Multiples**: Multiples of 33 are common multiples of 3 and 11. For example, 99 is a common multiple of both 3 and 11, hence it is also a multiple of 33.**Applications**: Multiples of 33 can be used in various mathematical problems, such as finding least common multiples, solving equations, and working with patterns in number theory.

## Examples on Multiples of 33

### Simple Multiples

3×33 = 99

4×33 = 132

5×33 = 165

### Larger Multiples

10×33 = 330

20×33 = 660

30×33 = 990

### Real-Life Examples

**Time**: A clock chime sounds every 99 minutes, which is a multiple of 33 because 33×3 = 99.**Money**: A stack of 33 dollar bills is a multiple of 33 because 33×1 = 33.**Measurements**: A chain with 132 links is a multiple of 33 because 33×4 = 132.

## Practical Examples of Multiples of 33

### What is the 15th multiple of 33?

The 15th multiple of 33 is 33×15 = 495.

### Is 462 a multiple of 33?

Yes, 462 is a multiple of 33 because 33×14 = 462.

### What is the next multiple of 33 after 264?

The next multiple of 33 after 264 is 264 + 33 = 297.

### Find the 25th multiple of 33.

The 25th multiple of 33 is 33×25 = 825.

### Is 100 a multiple of 33?

No, 100 is not a multiple of 33 because it cannot be expressed as 33×n where n is an integer.

## FAQs

## What is a multiple of 33?

A multiple of 33 is any number that can be expressed as 33 times an integer. For example, 33, 66, 99, etc.

## How do you determine if a number is a multiple of 33?

A number is a multiple of 33 if it can be divided by 33 without leaving a remainder.

## What are the first five multiples of 33?

The first five multiples of 33 are 33, 66, 99, 132, and 165.

## Is 132 a multiple of 33?

Yes, 132 is a multiple of 33 because 33 × 4 = 132.

## What is the 10th multiple of 33?

The 10th multiple of 33 is 33 × 10 = 330.

## Are all multiples of 33 also multiples of 11?

Yes, since 33 is a multiple of 11 (33 = 11 × 3), all multiples of 33 are also multiples of 11.

## Is 100 a multiple of 33?

No, 100 is not a multiple of 33 because it cannot be expressed as 33 times an integer.

## What is the smallest multiple of 33 greater than 200?

The smallest multiple of 33 greater than 200 is 231 (33 × 7 = 231).

## Can a multiple of 33 be odd?

Yes, multiples of 33 can be odd. For example, 33, 99, and 165 are all odd multiples of 33.

## What is the least common multiple (LCM) of 33 and 44?

The least common multiple of 33 and 44 is 132, as it is the smallest number that both 33 and 44 divide into without leaving a remainder.