Q: What are the prime factors of the number 1,136,880?

 A: 2, 3, 5, 1579

Why are those the prime factors of the number 1,136,880?

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 1,136,880

1,136,880
Factor Arrows
2568,440
Factor Arrows
2284,220
Factor Arrows
2142,110
Factor Arrows
271,055
Factor Arrows
323,685
Factor Arrows
37,895
Factor Arrows
51,579

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, 1579

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 1,579 = 1,136,880

This can also be written as 24 x 32 x 51 x 1,5791 = 1,136,880

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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