Q: What are the prime factors of the number 69,992,584?

 A: 2, 239, 36607

Why are those the prime factors of the number 69,992,584?

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 69,992,584

69,992,584
Factor Arrows
234,996,292
Factor Arrows
217,498,146
Factor Arrows
28,749,073
Factor Arrows
23936,607

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, 239, 36607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 239 x 36,607 = 69,992,584

This can also be written as 23 x 2391 x 36,6071 = 69,992,584

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


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