Q: What are the prime factors of the number 131,125,472?

 A: 2, 29, 101, 1399

Why are those the prime factors of the number 131,125,472?

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 131,125,472

131,125,472
Factor Arrows
265,562,736
Factor Arrows
232,781,368
Factor Arrows
216,390,684
Factor Arrows
28,195,342
Factor Arrows
24,097,671
Factor Arrows
29141,299
Factor Arrows
1011,399

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, 29, 101, 1399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 101 x 1,399 = 131,125,472

This can also be written as 25 x 291 x 1011 x 1,3991 = 131,125,472

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 131,125,472:


Ask a Question