Q: What are the prime factors of the number 63,031,365?

 A: 3, 5, 103, 1511

Why are those the prime factors of the number 63,031,365?

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 63,031,365

63,031,365
Factor Arrows
321,010,455
Factor Arrows
37,003,485
Factor Arrows
32,334,495
Factor Arrows
3778,165
Factor Arrows
5155,633
Factor Arrows
1031,511

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:

3, 5, 103, 1511

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 103 x 1,511 = 63,031,365

This can also be written as 34 x 51 x 1031 x 1,5111 = 63,031,365

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 63,031,365:


Ask a Question