2006-10-13 15:21:35 · 4 answers · asked by Bob 3 in Science & Mathematics ➔ Mathematics
What I mean is: What three digit number can be evenly divided by the most numbers?
2006-10-13 15:47:26 · update #1
The answer is 840, with 32 factors. Its prime factorization is 2^3*3*5*7. The factors of 840 are:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840.
2006-10-13 18:00:48 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋
Did you mean Prime factors or total factors? 240 for example has 20 actual factors: 1, 240, 2, 120, 3, 40, 4, 60, 5, 48, 6, 40, 8, 30, 10, 24, 12, 20, 15, 16. There are higher ones with more.
2006-10-13 15:38:25 · answer #2 · answered by hayharbr 7 · 0⤊ 0⤋
2*2*2*2*2*2*2*2*2
512, -512
2*2*2*2*2*2*2*2*3
768, -768
Would be a four-way tie at 9.
Aloha
2006-10-13 15:34:01 · answer #3 · answered by Anonymous · 0⤊ 0⤋
my guess is 960
2006-10-13 15:45:58 · answer #4 · answered by peaceharris 2 · 0⤊ 0⤋