Q: What are the prime factors of the number 1,100,416?

 A: 2, 8597

Why are those the prime factors of the number 1,100,416?

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 1,100,416

1,100,416
Factor Arrows
2550,208
Factor Arrows
2275,104
Factor Arrows
2137,552
Factor Arrows
268,776
Factor Arrows
234,388
Factor Arrows
217,194
Factor Arrows
28,597

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, 8597

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 8,597 = 1,100,416

This can also be written as 27 x 8,5971 = 1,100,416

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


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