Q: What are the prime factors of the number 101,626,220?

 A: 2, 5, 47, 73, 1481

Why are those the prime factors of the number 101,626,220?

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 101,626,220

101,626,220
Factor Arrows
250,813,110
Factor Arrows
225,406,555
Factor Arrows
55,081,311
Factor Arrows
47108,113
Factor Arrows
731,481

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, 47, 73, 1481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 47 x 73 x 1,481 = 101,626,220

This can also be written as 22 x 51 x 471 x 731 x 1,4811 = 101,626,220

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


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