Question

Write 98 as a product of prime factors.

In your answer, write each prime factor that appears more than once using an exponen

Answer 1

To express 98 as a product of prime factors, we start by finding the prime factors of 98.

1. First, we divide 98 by the smallest prime number, which is 2:
\[
98 \div 2 = 49
\]
So, we can write:
\[
98 = 2 \times 49
\]

2. Next, we factor 49. The smallest prime number that divides 49 is 7:
\[
49 \div 7 = 7
\]
Therefore, we can write:
\[
49 = 7 \times 7 = 7^2
\]

Thus, we can combine our factors to express 98 as:
\[
98 = 2 \times 7^2
\]

The final answer is:
\[
98 = 2 \times 7^2
\]