Q: What are the prime factors of the number 1,090,816?

 A: 2, 4261

Why are those the prime factors of the number 1,090,816?

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 1,090,816

1,090,816
Factor Arrows
2545,408
Factor Arrows
2272,704
Factor Arrows
2136,352
Factor Arrows
268,176
Factor Arrows
234,088
Factor Arrows
217,044
Factor Arrows
28,522
Factor Arrows
24,261

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, 4261

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 4,261 = 1,090,816

This can also be written as 28 x 4,2611 = 1,090,816

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


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