Q: What are the prime factors of the number 101,531,060?

 A: 2, 5, 19, 267187

Why are those the prime factors of the number 101,531,060?

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 101,531,060

101,531,060
Factor Arrows
250,765,530
Factor Arrows
225,382,765
Factor Arrows
55,076,553
Factor Arrows
19267,187

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, 5, 19, 267187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 267,187 = 101,531,060

This can also be written as 22 x 51 x 191 x 267,1871 = 101,531,060

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


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