What numbers exactly divide the ff.?
111-
522-
505-
2 320-
1 602-
3 732-
189 325-
13 854-
255 168-
729-
Thank You!
What is "the ff" ?
1. 3
2. 2
3. 5
4. 6
5. 6
7. 5
8. 6
9. 9
10. 3
To find the numbers that divide each given number exactly, we need to identify their divisors. We can do this by finding all the factors of each number.
Let's go through each number one by one:
1. For 111, we can start by checking all numbers from 1 to the square root of 111, which is approximately 10.54. The factors of 111 are 1, 3, 37, and 111.
2. For 522, we repeat the same process, checking all numbers from 1 to the square root of 522, which is approximately 22.86. The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, and 522.
3. For 505, we check all numbers from 1 to the square root of 505, which is approximately 22.47. The factors of 505 are 1, 5, 101, and 505.
4. For 2,320, we check all numbers from 1 to the square root of 2,320, which is approximately 48.16. The factors of 2,320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, and 2320.
5. For 1,602, we check all numbers from 1 to the square root of 1,602, which is approximately 40.03. The factors of 1,602 are 1, 2, 3, 6, 13, 26, 39, 78, 67, 134, 201, 402, 871, 1,742, and 3,484.
6. For 3,732, we check all numbers from 1 to the square root of 3,732, which is approximately 61.08. The factors of 3,732 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1,458, 2,187, and 3,732.
7. For 189,325, we check all numbers from 1 to the square root of 189,325, which is approximately 435.10. The factors of 189,325 are 1, 5, 25, 7573, 37865, and 189,325.
8. For 13,854, we check all numbers from 1 to the square root of 13,854, which is approximately 117.72. The factors of 13,854 are 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622, 6927, and 13,854.
9. For 255,168, we check all numbers from 1 to the square root of 255,168, which is approximately 505.12. The factors of 255,168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 448, 512, 672, 896, 1,024, 1,344, 1,792, 2,688, 3,584, 5,376, 7,168, 10,752, 14,336, 21,504, 28,672, 42,048, 57,344, 85,096, 114,688, 170,192, 255,168.
10. Lastly, for 729, we check all numbers from 1 to the square root of 729, which is approximately 27. The factors of 729 are 1, 3, 9, 27, 729.
So, the numbers that exactly divide each given number are as follows:
111: 1, 3, 37, 111
522: 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
505: 1, 5, 101, 505
2,320: 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
1,602: 1, 2, 3, 6, 13, 26, 39, 78, 67, 134, 201, 402, 871, 1,742, 3,484
3,732: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1,458, 2,187, 3,732
189,325: 1, 5, 25, 7573, 37865, 189,325
13,854: 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622, 6927, 13,854
255,168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 448, 512, 672, 896, 1,024, 1,344, 1,792, 2,688, 3,584, 5,376, 7,168, 10,752, 14,336, 21,504, 28,672, 42,048, 57,344, 85,096, 114,688, 170,192, 255,168
729: 1, 3, 9, 27, 729
I hope this helps!