કોઇપણ ગણિતની સમસ્યા ઉકેલો

પગલું દ્વારા પગલું

1. 1001

   Factor 1001 by dividing out the smallest prime that goes in, again and again.

2. 1001 = 7 \times 143

   7 is the smallest prime dividing 1001.

3. 143 = 11 \times 13

   11 is the smallest prime dividing 143. That leaves a prime, so we stop.

4. 13 = 13 \times 1

   13 is the smallest prime dividing 13. That leaves a prime, so we stop.

5. 1001 = 7 \times 11 \times 13

   Collect equal primes as powers.

6. d(1001) = (1+1) \cdot (1+1) \cdot (1+1) = 8

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

જવાબ બતાવો

1001 = 7 \times 11 \times 13