Q: What are the prime factors of the number 1,222,528?

 A: 2, 9551

Why are those the prime factors of the number 1,222,528?

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 1,222,528

1,222,528
Factor Arrows
2611,264
Factor Arrows
2305,632
Factor Arrows
2152,816
Factor Arrows
276,408
Factor Arrows
238,204
Factor Arrows
219,102
Factor Arrows
29,551

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, 9551

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 9,551 = 1,222,528

This can also be written as 27 x 9,5511 = 1,222,528

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


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