Q: What are the prime factors of the number 6,429,056?

 A: 2, 50227

Why are those the prime factors of the number 6,429,056?

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 6,429,056

6,429,056
Factor Arrows
23,214,528
Factor Arrows
21,607,264
Factor Arrows
2803,632
Factor Arrows
2401,816
Factor Arrows
2200,908
Factor Arrows
2100,454
Factor Arrows
250,227

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, 50227

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 50,227 = 6,429,056

This can also be written as 27 x 50,2271 = 6,429,056

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


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