Q: What are the prime factors of the number 32,144,400?

 A: 2, 3, 5, 8929

Why are those the prime factors of the number 32,144,400?

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 32,144,400

32,144,400
Factor Arrows
216,072,200
Factor Arrows
28,036,100
Factor Arrows
24,018,050
Factor Arrows
22,009,025
Factor Arrows
3669,675
Factor Arrows
3223,225
Factor Arrows
544,645
Factor Arrows
58,929

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, 8929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 8,929 = 32,144,400

This can also be written as 24 x 32 x 52 x 8,9291 = 32,144,400

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 32,144,400:


Ask a Question