Q: What are the prime factors of the number 1,035,120?

 A: 2, 3, 5, 19, 227

Why are those the prime factors of the number 1,035,120?

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 1,035,120

1,035,120
Factor Arrows
2517,560
Factor Arrows
2258,780
Factor Arrows
2129,390
Factor Arrows
264,695
Factor Arrows
321,565
Factor Arrows
54,313
Factor Arrows
19227

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, 19, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 19 x 227 = 1,035,120

This can also be written as 24 x 31 x 51 x 191 x 2271 = 1,035,120

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 1,035,120:


Ask a Question