How many factors
Level
pending
Without the use of a calculator; how many factors does the number have?
11
15
5
10
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1 solution
1 0 4 0 6 0 4 0 1 = 1 0 1 4 which has 0 0 5 factors. To notice this factorization, observe that the numbers: 1,4,6,4,1 are part of pascal's triangle, and are formed by the powers of 11. Since there are zero's, this becomes 101^4 instead of 11^4 (which produces 14641 instead of 104060401).