## Multiples of 73

Multiples of 73 are numbers that can be expressed as 73 times an integer. Starting from 73, they follow a consistent pattern, increasing by 73 each time (e.g., 73, 146, 219, 292, 365, etc.). Multiples of 73 are fundamental in arithmetic and number theory, aiding in the understanding of numerical patterns and forming the basis for more complex mathematical concepts. Recognizing and working with multiples of 73 is essential for performing various arithmetic operations efficiently.

## What are Multiples of 73?

**Multiples of 73 are numbers that can be expressed as 73×n, where n is an integer.** These numbers are always even and include values like 73, 146, 219, 292, and so on.

**Prime Factorization of 73:** 1×73

**First 10 Multiples of 73 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730**

**First 50 Multiples of 73 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730, 803, 876, 949, 1022, 1095, 1168, 1241, 1314, 1387, 1460, 1533, 1606, 1679, 1752, 1825, 1898, 1971, 2044, 2117, 2190, 2263, 2336, 2409, 2482, 2555, 2628, 2701, 2774, 2847, 2920, 2993, 3066, 3139, 3212, 3285, 3358, 3431, 3504, 3577**

## For example, 73**, **146**, **219 and 292 are all multiples of 73, 135 is not a multiple of 73 for the following reasons:

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

73 | 73 × 1. 73 is exactly divisible by 73. | 0 |

146 | 73 × 2. 146 is exactly divisible by 73. | 0 |

219 | 73 × 3. 219 is exactly divisible by 73. | 0 |

292 | 73 × 4. 292 is exactly divisible by 73. | 0 |

135 | 135 ÷ 73 is not an integer (135 ÷ 73 ≈ 1.8493). 135 is not divisible by 73. | 62 |

## List of First 100 Multiples of 73 with Remainders

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

73 | 73 × 1. 73 is exactly divisible by 73. | 0 |

146 | 73 × 2. 146 is exactly divisible by 73. | 0 |

219 | 73 × 3. 219 is exactly divisible by 73. | 0 |

292 | 73 × 4. 292 is exactly divisible by 73. | 0 |

365 | 73 × 5. 365 is exactly divisible by 73. | 0 |

438 | 73 × 6. 438 is exactly divisible by 73. | 0 |

511 | 73 × 7. 511 is exactly divisible by 73. | 0 |

584 | 73 × 8. 584 is exactly divisible by 73. | 0 |

657 | 73 × 9. 657 is exactly divisible by 73. | 0 |

730 | 73 × 10. 730 is exactly divisible by 73. | 0 |

803 | 73 × 11. 803 is exactly divisible by 73. | 0 |

876 | 73 × 12. 876 is exactly divisible by 73. | 0 |

949 | 73 × 13. 949 is exactly divisible by 73. | 0 |

1022 | 73 × 14. 1022 is exactly divisible by 73. | 0 |

1095 | 73 × 15. 1095 is exactly divisible by 73. | 0 |

1168 | 73 × 16. 1168 is exactly divisible by 73. | 0 |

1241 | 73 × 17. 1241 is exactly divisible by 73. | 0 |

1314 | 73 × 18. 1314 is exactly divisible by 73. | 0 |

1387 | 73 × 19. 1387 is exactly divisible by 73. | 0 |

1460 | 73 × 20. 1460 is exactly divisible by 73. | 0 |

1533 | 73 × 21. 1533 is exactly divisible by 73. | 0 |

1606 | 73 × 22. 1606 is exactly divisible by 73. | 0 |

1679 | 73 × 23. 1679 is exactly divisible by 73. | 0 |

1752 | 73 × 24. 1752 is exactly divisible by 73. | 0 |

1825 | 73 × 25. 1825 is exactly divisible by 73. | 0 |

1898 | 73 × 26. 1898 is exactly divisible by 73. | 0 |

1971 | 73 × 27. 1971 is exactly divisible by 73. | 0 |

2044 | 73 × 28. 2044 is exactly divisible by 73. | 0 |

2117 | 73 × 29. 2117 is exactly divisible by 73. | 0 |

2190 | 73 × 30. 2190 is exactly divisible by 73. | 0 |

2263 | 73 × 31. 2263 is exactly divisible by 73. | 0 |

2336 | 73 × 32. 2336 is exactly divisible by 73. | 0 |

2409 | 73 × 33. 2409 is exactly divisible by 73. | 0 |

2482 | 73 × 34. 2482 is exactly divisible by 73. | 0 |

2555 | 73 × 35. 2555 is exactly divisible by 73. | 0 |

2628 | 73 × 36. 2628 is exactly divisible by 73. | 0 |

2701 | 73 × 37. 2701 is exactly divisible by 73. | 0 |

2774 | 73 × 38. 2774 is exactly divisible by 73. | 0 |

2847 | 73 × 39. 2847 is exactly divisible by 73. | 0 |

2920 | 73 × 40. 2920 is exactly divisible by 73. | 0 |

2993 | 73 × 41. 2993 is exactly divisible by 73. | 0 |

3066 | 73 × 42. 3066 is exactly divisible by 73. | 0 |

3139 | 73 × 43. 3139 is exactly divisible by 73. | 0 |

3212 | 73 × 44. 3212 is exactly divisible by 73. | 0 |

3285 | 73 × 45. 3285 is exactly divisible by 73. | 0 |

3358 | 73 × 46. 3358 is exactly divisible by 73. | 0 |

3431 | 73 × 47. 3431 is exactly divisible by 73. | 0 |

3504 | 73 × 48. 3504 is exactly divisible by 73. | 0 |

3577 | 73 × 49. 3577 is exactly divisible by 73. | 0 |

3650 | 73 × 50. 3650 is exactly divisible by 73. | 0 |

3723 | 73 × 51. 3723 is exactly divisible by 73. | 0 |

3796 | 73 × 52. 3796 is exactly divisible by 73. | 0 |

3869 | 73 × 53. 3869 is exactly divisible by 73. | 0 |

3942 | 73 × 54. 3942 is exactly divisible by 73. | 0 |

4015 | 73 × 55. 4015 is exactly divisible by 73. | 0 |

4088 | 73 × 56. 4088 is exactly divisible by 73. | 0 |

4161 | 73 × 57. 4161 is exactly divisible by 73. | 0 |

4234 | 73 × 58. 4234 is exactly divisible by 73. | 0 |

4307 | 73 × 59. 4307 is exactly divisible by 73. | 0 |

4380 | 73 × 60. 4380 is exactly divisible by 73. | 0 |

4453 | 73 × 61. 4453 is exactly divisible by 73. | 0 |

4526 | 73 × 62. 4526 is exactly divisible by 73. | 0 |

4599 | 73 × 63. 4599 is exactly divisible by 73. | 0 |

4672 | 73 × 64. 4672 is exactly divisible by 73. | 0 |

4745 | 73 × 65. 4745 is exactly divisible by 73. | 0 |

4818 | 73 × 66. 4818 is exactly divisible by 73. | 0 |

4891 | 73 × 67. 4891 is exactly divisible by 73. | 0 |

4964 | 73 × 68. 4964 is exactly divisible by 73. | 0 |

5037 | 73 × 69. 5037 is exactly divisible by 73. | 0 |

5110 | 73 × 70. 5110 is exactly divisible by 73. | 0 |

5183 | 73 × 71. 5183 is exactly divisible by 73. | 0 |

5256 | 73 × 72. 5256 is exactly divisible by 73. | 0 |

5329 | 73 × 73. 5329 is exactly divisible by 73. | 0 |

5402 | 73 × 74. 5402 is exactly divisible by 73. | 0 |

5475 | 73 × 75. 5475 is exactly divisible by 73. | 0 |

5548 | 73 × 76. 5548 is exactly divisible by 73. | 0 |

5621 | 73 × 77. 5621 is exactly divisible by 73. | 0 |

5694 | 73 × 78. 5694 is exactly divisible by 73. | 0 |

5767 | 73 × 79. 5767 is exactly divisible by 73. | 0 |

5840 | 73 × 80. 5840 is exactly divisible by 73. | 0 |

5913 | 73 × 81. 5913 is exactly divisible by 73. | 0 |

5986 | 73 × 82. 5986 is exactly divisible by 73. | 0 |

6059 | 73 × 83. 6059 is exactly divisible by 73. | 0 |

6132 | 73 × 84. 6132 is exactly divisible by 73. | 0 |

6205 | 73 × 85. 6205 is exactly divisible by 73. | 0 |

6278 | 73 × 86. 6278 is exactly divisible by 73. | 0 |

6351 | 73 × 87. 6351 is exactly divisible by 73. | 0 |

6424 | 73 × 88. 6424 is exactly divisible by 73. | 0 |

6497 | 73 × 89. 6497 is exactly divisible by 73. | 0 |

6570 | 73 × 90. 6570 is exactly divisible by 73. | 0 |

6643 | 73 × 91. 6643 is exactly divisible by 73. | 0 |

6716 | 73 × 92. 6716 is exactly divisible by 73. | 0 |

6789 | 73 × 93. 6789 is exactly divisible by 73. | 0 |

6862 | 73 × 94. 6862 is exactly divisible by 73. | 0 |

6935 | 73 × 95. 6935 is exactly divisible by 73. | 0 |

7008 | 73 × 96. 7008 is exactly divisible by 73. | 0 |

7081 | 73 × 97. 7081 is exactly divisible by 73. | 0 |

7154 | 73 × 98. 7154 is exactly divisible by 73. | 0 |

7227 | 73 × 99. 7227 is exactly divisible by 73. | 0 |

7300 | 73 × 100. 7300 is exactly divisible by 73. | 0 |

## Read More About Multiples of 73

## Important Notes

**Even Numbers:** All multiples of 73 are numbers that can be divided by 73 without a remainder.

**Divisibility:** A number is a multiple of 73 if it can be divided by 73 with no remainder.

**Factors:** Multiples of 73 have 73 as one of their factors.

**Infinite Sequence:** There are infinitely many multiples of 73, extending indefinitely as 73, 146, 219, 292, 365, and so on.

**Arithmetic Pattern:** The difference between consecutive multiples of 73 is always 73.

## Examples on Multiples of 73

**Simple Multiples**

**73:**73 × 1 = 73**146:**73 × 2 = 146**219:**73 × 3 = 219

**Larger Multiples**

**730:**73 × 10 = 730**1460:**73 × 20 = 1460**2190:**73 × 30 = 2190

## Real-Life Examples

**Time:**5256 seconds in 73 minutes is a multiple of 73 because 73 × 72 = 5256.**Money:**$73 (7300 cents) is a multiple of 73 because 73 × 100 = 7300.**Measurements:**2628 inches in 73 yards is a multiple of 73 because 73 × 36 = 2628.

## Practical Examples of Multiples of 73

**Event Planning:**If you need to arrange chairs in rows with 73 chairs each, you can calculate the total number of chairs by multiplying 73 by the number of rows.**Construction:**When laying bricks, if each pallet contains 73 bricks, you can determine the total number of bricks by multiplying 73 by the number of pallets used.**Time Management:**Scheduling tasks in 73-minute intervals can help create a balanced and organized schedule throughout the day.**Finance:**If you save $73 each week, you can easily calculate your total savings over a period by multiplying 73 by the number of weeks.**Education:**Dividing students into groups of 73 can help manage large classes effectively, ensuring equal group sizes for projects and activities.

## Practical Applications

**Counting by Seventy-Threes:** When counting by seventy-threes (73, 146, 219, 292…), you are listing the multiples of 73.

**Divisibility:** Any number that is a multiple of 73, such as 146 or 219, can be divided evenly by 73.

**What are the multiples of 73 up to 1000?**

The multiples of 73 up to 1000 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730, 803, 876, 949.

**Is 1000 a multiple of 73?**

No, because 1000 ÷ 73 does not result in an integer.

**How many multiples of 73 are there between 1 and 1000?**

There are 13 multiples of 73 between 1 and 1000.

**Is 500 a multiple of 73?**

No, because 500 ÷ 73 does not result in an integer.

**Can a multiple of 73 be odd?**

Yes, because 73 itself is an odd number.

**What is the least common multiple (LCM) of 73 and 100?**

The LCM of 73 and 100 is 7300.

**Are all multiples of 73 divisible by 9?**

No, not all multiples of 73 are divisible by 9.

**Is 292 a multiple of 73?**

Yes, because 292 ÷ 73 = 4, an integer.

**What is the greatest multiple of 73 under 1000?**

The greatest multiple of 73 under 1000 is 949.

**Is 50 a multiple of 73?**

No, because 50 ÷ 73 does not result in an integer.

**How do multiples of 73 relate to factors?**

Multiples of 73 have 73 as one of their factors.