Q: What are the prime factors of the number 163,243,264?

 A: 2, 637669

Why are those the prime factors of the number 163,243,264?

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 163,243,264

163,243,264
Factor Arrows
281,621,632
Factor Arrows
240,810,816
Factor Arrows
220,405,408
Factor Arrows
210,202,704
Factor Arrows
25,101,352
Factor Arrows
22,550,676
Factor Arrows
21,275,338
Factor Arrows
2637,669

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, 637669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 637,669 = 163,243,264

This can also be written as 28 x 637,6691 = 163,243,264

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


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