What are the multiples of 12 up to 1000?
The Correct Answer and Explanation is:
The multiples of 12 up to 1000 can be determined by multiplying 12 by whole numbers starting from 1. The multiples of a number are obtained by taking that number and multiplying it by integers (1, 2, 3, etc.).
To find the multiples of 12 up to 1000, we can list them as follows:
- (12 \times 1 = 12)
- (12 \times 2 = 24)
- (12 \times 3 = 36)
- (12 \times 4 = 48)
- (12 \times 5 = 60)
- (12 \times 6 = 72)
- (12 \times 7 = 84)
- (12 \times 8 = 96)
- (12 \times 9 = 108)
- (12 \times 10 = 120)
- (12 \times 11 = 132)
- (12 \times 12 = 144)
- (12 \times 13 = 156)
- (12 \times 14 = 168)
- (12 \times 15 = 180)
- (12 \times 16 = 192)
- (12 \times 17 = 204)
- (12 \times 18 = 216)
- (12 \times 19 = 228)
- (12 \times 20 = 240)
- (12 \times 21 = 252)
- (12 \times 22 = 264)
- (12 \times 23 = 276)
- (12 \times 24 = 288)
- (12 \times 25 = 300)
- (12 \times 26 = 312)
- (12 \times 27 = 324)
- (12 \times 28 = 336)
- (12 \times 29 = 348)
- (12 \times 30 = 360)
- (12 \times 31 = 372)
- (12 \times 32 = 384)
- (12 \times 33 = 396)
- (12 \times 34 = 408)
- (12 \times 35 = 420)
- (12 \times 36 = 432)
- (12 \times 37 = 444)
- (12 \times 38 = 456)
- (12 \times 39 = 468)
- (12 \times 40 = 480)
- (12 \times 41 = 492)
- (12 \times 42 = 504)
- (12 \times 43 = 516)
- (12 \times 44 = 528)
- (12 \times 45 = 540)
- (12 \times 46 = 552)
- (12 \times 47 = 564)
- (12 \times 48 = 576)
- (12 \times 49 = 588)
- (12 \times 50 = 600)
- (12 \times 51 = 612)
- (12 \times 52 = 624)
- (12 \times 53 = 636)
- (12 \times 54 = 648)
- (12 \times 55 = 660)
- (12 \times 56 = 672)
- (12 \times 57 = 684)
- (12 \times 58 = 696)
- (12 \times 59 = 708)
- (12 \times 60 = 720)
- (12 \times 61 = 732)
- (12 \times 62 = 744)
- (12 \times 63 = 756)
- (12 \times 64 = 768)
- (12 \times 65 = 780)
- (12 \times 66 = 792)
- (12 \times 67 = 804)
- (12 \times 68 = 816)
- (12 \times 69 = 828)
- (12 \times 70 = 840)
- (12 \times 71 = 852)
- (12 \times 72 = 864)
- (12 \times 73 = 876)
- (12 \times 74 = 888)
- (12 \times 75 = 900)
- (12 \times 76 = 912)
- (12 \times 77 = 924)
- (12 \times 78 = 936)
- (12 \times 79 = 948)
- (12 \times 80 = 960)
- (12 \times 81 = 972)
- (12 \times 82 = 984)
- (12 \times 83 = 996)
The last multiple of 12 before reaching 1000 is (12 \times 83 = 996).
In summary, the multiples of 12 up to 1000 are:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, 888, 900, 912, 924, 936, 948, 960, 972, 984, 996.
Understanding multiples is essential in mathematics, as they play a significant role in various concepts such as factors, divisibility, and algebraic equations. They help in identifying patterns and relationships within numbers. Multiples of a number can also be crucial for solving problems in real life, such as in measuring, budgeting, and organizing items.