Q: What are the prime factors of the number 36,242,225?

 A: 5, 59, 24571

Why are those the prime factors of the number 36,242,225?

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 36,242,225

36,242,225
Factor Arrows
57,248,445
Factor Arrows
51,449,689
Factor Arrows
5924,571

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:

5, 59, 24571

We can check our work by multiplying all of the prime factors together: 5 x 5 x 59 x 24,571 = 36,242,225

This can also be written as 52 x 591 x 24,5711 = 36,242,225

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 36,242,225:


Ask a Question