Q: What are the prime factors of the number 69,550,496?

 A: 2, 2173453

Why are those the prime factors of the number 69,550,496?

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 69,550,496

69,550,496
Factor Arrows
234,775,248
Factor Arrows
217,387,624
Factor Arrows
28,693,812
Factor Arrows
24,346,906
Factor Arrows
22,173,453

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, 2173453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,173,453 = 69,550,496

This can also be written as 25 x 2,173,4531 = 69,550,496

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


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