Factors & Trailing Zeros

Factors और Trailing Zeros

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Factors & Trailing Zeros

  • Number System
  • Factors & Trailing Zeros
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Interactive — learn by doing. Drag, tap and explore to build the intuition.

Count factors without listing them

Break N into primes; each prime power p^e offers (e+1) choices, so the factor count is the product of (e+1).

72 =23 × 32
(3+1) × (2+1)
12 factors
They are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

💡 A perfect square always has an ODD factor count — its middle factor (the root) isn't paired.