Q: What are the prime factors of the number 1,461,024?

 A: 2, 3, 19, 89

Why are those the prime factors of the number 1,461,024?

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 1,461,024

1,461,024
Factor Arrows
2730,512
Factor Arrows
2365,256
Factor Arrows
2182,628
Factor Arrows
291,314
Factor Arrows
245,657
Factor Arrows
315,219
Factor Arrows
35,073
Factor Arrows
31,691
Factor Arrows
1989

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, 19, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 89 = 1,461,024

This can also be written as 25 x 33 x 191 x 891 = 1,461,024

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 1,461,024:


Ask a Question