Multiples of 72

Multiples of 72 are numbers that can be expressed as 72 times an integer. These numbers are also known as even numbers. Starting from 72, they follow a consistent pattern, increasing by 72 each time (e.g., 72, 144, 216, 288, 360, etc.). Multiples of 72 are fundamental in arithmetic and number theory, helping to understand even and odd numbers and forming the basis for more complex mathematical concepts. Recognizing and working with multiples of 72 is essential for performing various arithmetic operations efficiently.

What are Multiples of 72?

Multiples of 72 are numbers that can be expressed as 72×n, where n is an integer. These numbers are always even and include values like 72, 144, 216, 288, and so on.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3.

First 10 Multiples of 72 are 72, 144, 216, 288, 360, 432, 504, 576, 648, 720

First 50 Multiples of 72 are 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528

For example, 72, 144, 216 and 288 are all multiples of 72, 95 is not a multiple of 72 for the following reasons:

Number	Reason	Remainder
72	72 × 1. 72 is exactly divisible by 72.	0
144	72 × 2. 144 is exactly divisible by 72.	0
216	72 × 3. 216 is exactly divisible by 72.	0
288	72 × 4. 288 is exactly divisible by 72.	0
95	95 ÷ 72 is not an integer (95 ÷ 72 = 1.3194). 95 is not exactly divisible by 72.	23

List of First 100 Multiples of 72 with Remainders

Number	Reason	Remainder
72	72 × 1. 72 is exactly divisible by 72.	0
144	72 × 2. 144 is exactly divisible by 72.	0
216	72 × 3. 216 is exactly divisible by 72.	0
288	72 × 4. 288 is exactly divisible by 72.	0
360	72 × 5. 360 is exactly divisible by 72.	0
432	72 × 6. 432 is exactly divisible by 72.	0
504	72 × 7. 504 is exactly divisible by 72.	0
576	72 × 8. 576 is exactly divisible by 72.	0
648	72 × 9. 648 is exactly divisible by 72.	0
720	72 × 10. 720 is exactly divisible by 72.	0
792	72 × 11. 792 is exactly divisible by 72.	0
864	72 × 12. 864 is exactly divisible by 72.	0
936	72 × 13. 936 is exactly divisible by 72.	0
1008	72 × 14. 1008 is exactly divisible by 72.	0
1080	72 × 15. 1080 is exactly divisible by 72.	0
1152	72 × 16. 1152 is exactly divisible by 72.	0
1224	72 × 17. 1224 is exactly divisible by 72.	0
1296	72 × 18. 1296 is exactly divisible by 72.	0
1368	72 × 19. 1368 is exactly divisible by 72.	0
1440	72 × 20. 1440 is exactly divisible by 72.	0
1512	72 × 21. 1512 is exactly divisible by 72.	0
1584	72 × 22. 1584 is exactly divisible by 72.	0
1656	72 × 23. 1656 is exactly divisible by 72.	0
1728	72 × 24. 1728 is exactly divisible by 72.	0
1800	72 × 25. 1800 is exactly divisible by 72.	0
1872	72 × 26. 1872 is exactly divisible by 72.	0
1944	72 × 27. 1944 is exactly divisible by 72.	0
2016	72 × 28. 2016 is exactly divisible by 72.	0
2088	72 × 29. 2088 is exactly divisible by 72.	0
2160	72 × 30. 2160 is exactly divisible by 72.	0
2232	72 × 31. 2232 is exactly divisible by 72.	0
2304	72 × 32. 2304 is exactly divisible by 72.	0
2376	72 × 33. 2376 is exactly divisible by 72.	0
2448	72 × 34. 2448 is exactly divisible by 72.	0
2520	72 × 35. 2520 is exactly divisible by 72.	0
2592	72 × 36. 2592 is exactly divisible by 72.	0
2664	72 × 37. 2664 is exactly divisible by 72.	0
2736	72 × 38. 2736 is exactly divisible by 72.	0
2808	72 × 39. 2808 is exactly divisible by 72.	0
2880	72 × 40. 2880 is exactly divisible by 72.	0
2952	72 × 41. 2952 is exactly divisible by 72.	0
3024	72 × 42. 3024 is exactly divisible by 72.	0
3096	72 × 43. 3096 is exactly divisible by 72.	0
3168	72 × 44. 3168 is exactly divisible by 72.	0
3240	72 × 45. 3240 is exactly divisible by 72.	0
3312	72 × 46. 3312 is exactly divisible by 72.	0
3384	72 × 47. 3384 is exactly divisible by 72.	0
3456	72 × 48. 3456 is exactly divisible by 72.	0
3528	72 × 49. 3528 is exactly divisible by 72.	0
3600	72 × 50. 3600 is exactly divisible by 72.	0
3672	72 × 51. 3672 is exactly divisible by 72.	0
3744	72 × 52. 3744 is exactly divisible by 72.	0
3816	72 × 53. 3816 is exactly divisible by 72.	0
3888	72 × 54. 3888 is exactly divisible by 72.	0
3960	72 × 55. 3960 is exactly divisible by 72.	0
4032	72 × 56. 4032 is exactly divisible by 72.	0
4104	72 × 57. 4104 is exactly divisible by 72.	0
4176	72 × 58. 4176 is exactly divisible by 72.	0
4248	72 × 59. 4248 is exactly divisible by 72.	0
4320	72 × 60. 4320 is exactly divisible by 72.	0
4392	72 × 61. 4392 is exactly divisible by 72.	0
4464	72 × 62. 4464 is exactly divisible by 72.	0
4536	72 × 63. 4536 is exactly divisible by 72.	0
4608	72 × 64. 4608 is exactly divisible by 72.	0
4680	72 × 65. 4680 is exactly divisible by 72.	0
4752	72 × 66. 4752 is exactly divisible by 72.	0
4824	72 × 67. 4824 is exactly divisible by 72.	0
4896	72 × 68. 4896 is exactly divisible by 72.	0
4968	72 × 69. 4968 is exactly divisible by 72.	0
5040	72 × 70. 5040 is exactly divisible by 72.	0
5112	72 × 71. 5112 is exactly divisible by 72.	0
5184	72 × 72. 5184 is exactly divisible by 72.	0
5256	72 × 73. 5256 is exactly divisible by 72.	0
5328	72 × 74. 5328 is exactly divisible by 72.	0
5400	72 × 75. 5400 is exactly divisible by 72.	0
5472	72 × 76. 5472 is exactly divisible by 72.	0
5544	72 × 77. 5544 is exactly divisible by 72.	0
5616	72 × 78. 5616 is exactly divisible by 72.	0
5688	72 × 79. 5688 is exactly divisible by 72.	0
5760	72 × 80. 5760 is exactly divisible by 72.	0
5832	72 × 81. 5832 is exactly divisible by 72.	0
5904	72 × 82. 5904 is exactly divisible by 72.	0
5976	72 × 83. 5976 is exactly divisible by 72.	0
6048	72 × 84. 6048 is exactly divisible by 72.	0
6120	72 × 85. 6120 is exactly divisible by 72.	0
6192	72 × 86. 6192 is exactly divisible by 72.	0
6264	72 × 87. 6264 is exactly divisible by 72.	0
6336	72 × 88. 6336 is exactly divisible by 72.	0
6408	72 × 89. 6408 is exactly divisible by 72.	0
6480	72 × 90. 6480 is exactly divisible by 72.	0
6552	72 × 91. 6552 is exactly divisible by 72.	0
6624	72 × 92. 6624 is exactly divisible by 72.	0
6696	72 × 93. 6696 is exactly divisible by 72.	0
6768	72 × 94. 6768 is exactly divisible by 72.	0
6840	72 × 95. 6840 is exactly divisible by 72.	0
6912	72 × 96. 6912 is exactly divisible by 72.	0
6984	72 × 97. 6984 is exactly divisible by 72.	0
7056	72 × 98. 7056 is exactly divisible by 72.	0
7128	72 × 99. 7128 is exactly divisible by 72.	0
7200	72 × 100. 7200 is exactly divisible by 72.	0

Read More About Multiples of 72

Table of 72

Important Notes

• Even Numbers: All multiples of 72 are even numbers, meaning they end in 0, 2, 4, 6, or 8.
• Divisibility: A number is a multiple of 72 if it can be divided by 72 with no remainder.
• Factors: Multiples of 72 have 72 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 72, extending indefinitely as 72, 144, 216, 288, 360, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 72 is always 72.

Examples on Multiples of 72

Simple Multiples

• 72: 72 × 1 = 72
• 144: 72 × 2 = 144
• 216: 72 × 3 = 216

Larger Multiples

• 720: 72 × 10 = 720
• 1440: 72 × 20 = 1440
• 2160: 72 × 30 = 2160

Real-Life Examples

Time: 4320 seconds in 72 minutes is a multiple of 72 because 72 × 60 = 4320.

Money: $7.20 (720 cents) is a multiple of 72 because 72 × 10 = 720.

Measurements: 2592 inches in 72 yards is a multiple of 72 because 72 × 36 = 2592.

Practical Examples of Multiples of 72

1. Event Planning: If you need to arrange chairs in rows with 72 chairs each, you can quickly calculate the total number of chairs by multiplying 72 by the number of rows.
2. Construction: When laying tiles, if each tile covers an area of 72 square inches, you can determine the total coverage by multiplying 72 by the number of tiles used.
3. Time Management: Scheduling events in 72-minute intervals ensures even distribution throughout the day, allowing for precise planning and coordination.
4. Finance: If you save $72 each week, you can easily calculate your total savings over a period by multiplying 72 by the number of weeks.
5. Education: In a classroom setting, dividing students into groups of 72 can help manage large classes effectively and ensure equal group sizes.

Practical Applications

Counting by Seventy-Twos: When counting by seventy-twos (72, 144, 216, 288…), you are listing the multiples of 72.

Even Numbers: Any number that is a multiple of 72, such as 144 or 216, can be divided evenly by 72.