Q: What are the prime factors of the number 101,200?

 A: 2, 5, 11, 23

Why are those the prime factors of the number 101,200?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 101,200

101,200
Factor Arrows
250,600
Factor Arrows
225,300
Factor Arrows
212,650
Factor Arrows
26,325
Factor Arrows
51,265
Factor Arrows
5253
Factor Arrows
1123

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 11, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 11 x 23 = 101,200

This can also be written as 24 x 52 x 111 x 231 = 101,200

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 101,200:


Ask a Question