Q: What are the prime factors of the number 1,360,384?

 A: 2, 2657

Why are those the prime factors of the number 1,360,384?

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 1,360,384

1,360,384
Factor Arrows
2680,192
Factor Arrows
2340,096
Factor Arrows
2170,048
Factor Arrows
285,024
Factor Arrows
242,512
Factor Arrows
221,256
Factor Arrows
210,628
Factor Arrows
25,314
Factor Arrows
22,657

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, 2657

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 2 x 2 x 2 x 2,657 = 1,360,384

This can also be written as 29 x 2,6571 = 1,360,384

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 1,360,384:


Ask a Question