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Number-Theory · Divisors

Divisors of 100

100

Step by step

  1. 100 = 2^{2} \times 5^{2}

    Prime-factorise first.

  2. d(n) = (2+1) \cdot (2+1) = 9

    Each divisor picks an exponent from 0 up to the prime's exponent, so multiply (exponent + 1) for each prime.

  3. 1, 2, 4, 5, 10, 20, 25, 50, 100

    List them in increasing order.

Reveal the answer
1, 2, 4, 5, 10, 20, 25, 50, 100