Q: What are the prime factors of the number 37,333,010?

 A: 2, 5, 11, 13, 26107

Why are those the prime factors of the number 37,333,010?

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 37,333,010

37,333,010
Factor Arrows
218,666,505
Factor Arrows
53,733,301
Factor Arrows
11339,391
Factor Arrows
1326,107

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, 13, 26107

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 13 x 26,107 = 37,333,010

This can also be written as 21 x 51 x 111 x 131 x 26,1071 = 37,333,010

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 37,333,010:


Ask a Question