Q: What are the prime factors of the number 69,151,552?

 A: 2, 61, 17713

Why are those the prime factors of the number 69,151,552?

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 69,151,552

69,151,552
Factor Arrows
234,575,776
Factor Arrows
217,287,888
Factor Arrows
28,643,944
Factor Arrows
24,321,972
Factor Arrows
22,160,986
Factor Arrows
21,080,493
Factor Arrows
6117,713

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, 61, 17713

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 61 x 17,713 = 69,151,552

This can also be written as 26 x 611 x 17,7131 = 69,151,552

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


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