Q: What are the prime factors of the number 60,562,128?

 A: 2, 3, 11, 23, 4987

Why are those the prime factors of the number 60,562,128?

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 60,562,128

60,562,128
Factor Arrows
230,281,064
Factor Arrows
215,140,532
Factor Arrows
27,570,266
Factor Arrows
23,785,133
Factor Arrows
31,261,711
Factor Arrows
11114,701
Factor Arrows
234,987

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, 3, 11, 23, 4987

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 23 x 4,987 = 60,562,128

This can also be written as 24 x 31 x 111 x 231 x 4,9871 = 60,562,128

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


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