Question

What is the prime factors of 210

Answer 1

To find the prime factors of 210, we can start by dividing it by the smallest prime numbers.

1. Divide by 2 (the smallest prime number):
\[
210 \div 2 = 105
\]
So, we have \( 2 \).

2. Next, divide 105 by the next smallest prime number, which is 3:
\[
105 \div 3 = 35
\]
So, we have \( 3 \).

3. Now, divide 35 by the next smallest prime number, which is 5:
\[
35 \div 5 = 7
\]
So, we have \( 5 \).

4. Finally, 7 is a prime number.

Putting it all together, the prime factors of 210 are:
\[
2, 3, 5, \text{ and } 7.
\]

Thus, the prime factorization of 210 is:
\[
2 \times 3 \times 5 \times 7.
\]