Hər hansı riyazi problemi həll et
Təkliflər, derivativlər, integrallar, matrisə, üçbucaqlar, adi saylar, statistika, ya da müəllimin hissələrə böldüyü söz problemi.
Addım-addım
- 2024
Factor 2024 by dividing out the smallest prime that goes in, again and again.
- 2024 = 2 \times 1012
2 is the smallest prime dividing 2024.
- 1012 = 2 \times 506
2 is the smallest prime dividing 1012.
- 506 = 2 \times 253
2 is the smallest prime dividing 506.
- 253 = 11 \times 23
11 is the smallest prime dividing 253. That leaves a prime, so we stop.
- 23 = 23 \times 1
23 is the smallest prime dividing 23. That leaves a prime, so we stop.
- 2024 = 2^{3} \times 11 \times 23
Collect equal primes as powers.
- d(2024) = (3+1) \cdot (1+1) \cdot (1+1) = 16
Bonus: the number of divisors is the product of (exponent + 1) over the prime powers.
Cavabı göstər
2024 = 2^{3} \times 11 \times 23