Question

Whats the prime factorization of 567.

Answer 1

The prime factorization of 567 is found by dividing the number by 3 repeatedly until we get the prime number 7, resulting in 3 to the 4th power times 7.

Step-by-step explanation:

The prime factorization of 567 can be found by successively dividing the number by its smallest prime divisor until only prime numbers are left. We'll perform this division step by step:

1. Divide 567 by 3 (since it's divisible by 3), which gives us 189.
2. Divide 189 by 3 again, which yields 63.
3. Divide 63 by 3, resulting in 21.
4. Divide 21 by 3, giving us 7.
5. Now we are left with 7, which is a prime number itself.

Therefore, the prime factorization of 567 is 34 × 7.