Q: What are the prime factors of the number 61,615,456?

 A: 2, 7, 41, 6709

Why are those the prime factors of the number 61,615,456?

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 61,615,456

61,615,456
Factor Arrows
230,807,728
Factor Arrows
215,403,864
Factor Arrows
27,701,932
Factor Arrows
23,850,966
Factor Arrows
21,925,483
Factor Arrows
7275,069
Factor Arrows
416,709

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, 7, 41, 6709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 41 x 6,709 = 61,615,456

This can also be written as 25 x 71 x 411 x 6,7091 = 61,615,456

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


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