Question

Factor in the multiple of 35 and 72.

a) 2³ * 3² * 5 * 7
b) 2² * 3² * 5 * 7
c) 2² * 3² * 5² * 7
d) 2³ * 3 * 5 * 7²

Answer 1

To factor the multiples of 35 and 72, you need to break down their prime factors and then combine the common prime factors and their exponents.

Step-by-step explanation:

To factor the multiples of 35 and 72, we need to break down their prime factors.

For 35, the prime factorization is 5 * 7.

For 72, the prime factorization is 2^3 * 3^2.

Now, we can combine the common prime factors and their exponents to get the factorization of the multiples of 35 and 72.

The correct answer is option a) 2^3 * 3^2 * 5 * 7.