Q: What are the prime factors of the number 32,493,150?

 A: 2, 3, 5, 71, 113

Why are those the prime factors of the number 32,493,150?

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 32,493,150

32,493,150
Factor Arrows
216,246,575
Factor Arrows
35,415,525
Factor Arrows
31,805,175
Factor Arrows
3601,725
Factor Arrows
3200,575
Factor Arrows
540,115
Factor Arrows
58,023
Factor Arrows
71113

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, 71, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 71 x 113 = 32,493,150

This can also be written as 21 x 34 x 52 x 711 x 1131 = 32,493,150

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 32,493,150:


Ask a Question