Q: What are the prime factors of the number 45,240,525?

 A: 3, 5, 11, 677

Why are those the prime factors of the number 45,240,525?

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 45,240,525

45,240,525
Factor Arrows
315,080,175
Factor Arrows
35,026,725
Factor Arrows
31,675,575
Factor Arrows
3558,525
Factor Arrows
3186,175
Factor Arrows
537,235
Factor Arrows
57,447
Factor Arrows
11677

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, 11, 677

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 677 = 45,240,525

This can also be written as 35 x 52 x 111 x 6771 = 45,240,525

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 45,240,525:


Ask a Question