Q: What are the prime factors of the number 125,515,710?

 A: 2, 3, 5, 19, 43, 569

Why are those the prime factors of the number 125,515,710?

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 125,515,710

125,515,710
Factor Arrows
262,757,855
Factor Arrows
320,919,285
Factor Arrows
36,973,095
Factor Arrows
32,324,365
Factor Arrows
5464,873
Factor Arrows
1924,467
Factor Arrows
43569

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, 3, 5, 19, 43, 569

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 19 x 43 x 569 = 125,515,710

This can also be written as 21 x 33 x 51 x 191 x 431 x 5691 = 125,515,710

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 125,515,710:


Ask a Question