Question

Prime factors of number 140 will be:

• A. $2 \times 5^2 \times 7$
• B. $2 \times 7 \times 5$
• C. $2^2 \times 5 \times 7$
• D. $2^2 \times 5 \times 7^2$

Hint:

Always divide by the smallest prime number possible when performing prime factorization.

Answer 1

The Correct Option is C

Step 1: Prime factorization.
We divide 140 by the smallest prime numbers step by step:
$140 \div 2 = 70$, $70 \div 2 = 35$, $35 \div 5 = 7$, and 7 is a prime number.

Step 2: Writing the factorization.
Hence, $140 = 2^2 \times 5 \times 7$.

Step 3: Conclusion.
The prime factors of 140 are $2^2$, $5$, and $7$.