Q: What are the prime factors of the number 131,445,440?

 A: 2, 5, 7, 83, 101

Why are those the prime factors of the number 131,445,440?

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 131,445,440

131,445,440
Factor Arrows
265,722,720
Factor Arrows
232,861,360
Factor Arrows
216,430,680
Factor Arrows
28,215,340
Factor Arrows
24,107,670
Factor Arrows
22,053,835
Factor Arrows
5410,767
Factor Arrows
758,681
Factor Arrows
78,383
Factor Arrows
83101

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, 5, 7, 83, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 83 x 101 = 131,445,440

This can also be written as 26 x 51 x 72 x 831 x 1011 = 131,445,440

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 131,445,440:


Ask a Question