Question

Express 45 product of primes

Answer 1

To express the number 45 as a product of its prime factors, we can factor it step by step:

1. Start by dividing 45 by the smallest prime number, which is 3:
\[
45 \div 3 = 15
\]
So, we have 45 = 3 × 15.

2. Next, factor 15 by dividing it by 3 again:
\[
15 \div 3 = 5
\]
Thus, 15 = 3 × 5, and we can update our factorization:
\[
45 = 3 × 3 × 5.
\]

3. This can also be expressed using exponents:
\[
45 = 3^2 × 5^1.
\]

So, the prime factorization of 45 is:
\[
45 = 3^2 \times 5.
\]