Question

Express 6 times 15 as a product of prime factors

Answer 1

To express \(6 \times 15\) as a product of prime factors, we first find the prime factorization of each number.

Starting with \(6\):
\[
6 = 2 \times 3
\]

Next, for \(15\):
\[
15 = 3 \times 5
\]

Now, we multiply these expressions:
\[
6 \times 15 = (2 \times 3) \times (3 \times 5)
\]

Combining the factors, we get:
\[
6 \times 15 = 2 \times 3^2 \times 5
\]

Thus, the product of prime factors of \(6 \times 15\) is:
\[
2 \times 3^2 \times 5
\]