Q: What are the prime factors of the number 65,615,552?

 A: 2, 59, 17377

Why are those the prime factors of the number 65,615,552?

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 65,615,552

65,615,552
Factor Arrows
232,807,776
Factor Arrows
216,403,888
Factor Arrows
28,201,944
Factor Arrows
24,100,972
Factor Arrows
22,050,486
Factor Arrows
21,025,243
Factor Arrows
5917,377

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, 59, 17377

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 59 x 17,377 = 65,615,552

This can also be written as 26 x 591 x 17,3771 = 65,615,552

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


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