Q: What are the prime factors of the number 1,154,656?

 A: 2, 36083

Why are those the prime factors of the number 1,154,656?

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 1,154,656

1,154,656
Factor Arrows
2577,328
Factor Arrows
2288,664
Factor Arrows
2144,332
Factor Arrows
272,166
Factor Arrows
236,083

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, 36083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 36,083 = 1,154,656

This can also be written as 25 x 36,0831 = 1,154,656

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


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