Question

Find the prime factorization of the number of 70

Answer 1

To find the prime factorization of the number 70, we can break it down into its prime factors.

1. Start by dividing 70 by the smallest prime number, which is 2:
\[
70 \div 2 = 35
\]
So, we have \(70 = 2 \times 35\).

2. Next, we need to factor 35. The smallest prime number that divides 35 is 5:
\[
35 \div 5 = 7
\]
So, we have \(35 = 5 \times 7\).

3. Now, we combine everything we have factored:
\[
70 = 2 \times 5 \times 7
\]

Since 2, 5, and 7 are all prime numbers, the complete prime factorization of 70 is:
\[
\boxed{2 \times 5 \times 7}
\]