Q: What are the prime factors of the number 6,052,725?

 A: 3, 5, 7, 61

Why are those the prime factors of the number 6,052,725?

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 6,052,725

6,052,725
Factor Arrows
32,017,575
Factor Arrows
3672,525
Factor Arrows
3224,175
Factor Arrows
374,725
Factor Arrows
514,945
Factor Arrows
52,989
Factor Arrows
7427
Factor Arrows
761

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, 7, 61

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 61 = 6,052,725

This can also be written as 34 x 52 x 72 x 611 = 6,052,725

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 6,052,725:


Ask a Question