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?

Multiples of 33 are the numbers that result from multiplying 33 by any integer. Examples include 33, 66, 99, 132, and so on. These numbers follow the pattern 33n, where n is any integer.

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

Table 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