Find prime factors of 100
Break any number into its prime factors with a complete factor tree.
100
Divide 100 by the smallest prime factors repeatedly:
Step 1: Is 100 divisible by 2?
100 is even (last digit is 0)
100 ÷ 2 = 50
Step 2: Is 50 divisible by 2?
50 is even (last digit is 0)
50 ÷ 2 = 25
Step 3: Is 25 divisible by 5?
last digit is 5 (0 or 5)
25 ÷ 5 = 5
Step 4:
5 ÷ 5 = 1
Prime factorization (expanded):
100 = 2 × 2 × 5 × 5
In exponential form:
100 = 22 × 52
100 = 22 × 52
How to find prime factors of 100
To find the prime factorization of 100, start dividing by the smallest prime factor (2), then try 3, 5, 7, and so on until the quotient is 1. Each prime factor and its power make up the factorization.
This is a prime factorization — every integer greater than 1 has a unique prime factorization. We find it by dividing by the smallest primes.
Frequently asked questions
What is the answer to 100?
The answer is 100 = 2² × 5².
What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.