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Number-Theory · Prime-Factorization

Prime factorization of 9232

9232

Шаг за шагом

  1. 9232

    Factor 9232 by dividing out the smallest prime that goes in, again and again.

  2. 9232 = 2 \times 4616

    2 is the smallest prime dividing 9232.

  3. 4616 = 2 \times 2308

    2 is the smallest prime dividing 4616.

  4. 2308 = 2 \times 1154

    2 is the smallest prime dividing 2308.

  5. 1154 = 2 \times 577

    2 is the smallest prime dividing 1154. That leaves a prime, so we stop.

  6. 577 = 577 \times 1

    577 is the smallest prime dividing 577. That leaves a prime, so we stop.

  7. 9232 = 2^{4} \times 577

    Collect equal primes as powers.

  8. d(9232) = (4+1) \cdot (1+1) = 10

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

Откройте ответ.
9232 = 2^{4} \times 577