Q: What are the prime factors of the number 100,112,202?

 A: 2, 3, 137, 40597

Why are those the prime factors of the number 100,112,202?

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 100,112,202

100,112,202
Factor Arrows
250,056,101
Factor Arrows
316,685,367
Factor Arrows
35,561,789
Factor Arrows
13740,597

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, 3, 137, 40597

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 137 x 40,597 = 100,112,202

This can also be written as 21 x 32 x 1371 x 40,5971 = 100,112,202

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 100,112,202:


Ask a Question