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Number-Theory · Prime-Factorization

Prime factorization of 3233

3233

Inyathelo ngenyathelo

  1. 3233

    Factor 3233 by dividing out the smallest prime that goes in, again and again.

  2. 3233 = 53 \times 61

    53 is the smallest prime dividing 3233. That leaves a prime, so we stop.

  3. 61 = 61 \times 1

    61 is the smallest prime dividing 61. That leaves a prime, so we stop.

  4. 3233 = 53 \times 61

    Collect equal primes as powers.

  5. d(3233) = (1+1) \cdot (1+1) = 4

    Bonus: the number of divisors is the product of (exponent + 1) over the prime powers.

Bonisa impendulo
3233 = 53 \times 61