Q: What are the prime factors of the number 163,217,530?

 A: 2, 5, 7, 333097

Why are those the prime factors of the number 163,217,530?

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 163,217,530

163,217,530
Factor Arrows
281,608,765
Factor Arrows
516,321,753
Factor Arrows
72,331,679
Factor Arrows
7333,097

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, 7, 333097

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 333,097 = 163,217,530

This can also be written as 21 x 51 x 72 x 333,0971 = 163,217,530

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


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