Q: What are the prime factors of the number 163,075,722?

 A: 2, 3, 67, 73, 5557

Why are those the prime factors of the number 163,075,722?

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 163,075,722

163,075,722
Factor Arrows
281,537,861
Factor Arrows
327,179,287
Factor Arrows
67405,661
Factor Arrows
735,557

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, 67, 73, 5557

We can check our work by multiplying all of the prime factors together: 2 x 3 x 67 x 73 x 5,557 = 163,075,722

This can also be written as 21 x 31 x 671 x 731 x 5,5571 = 163,075,722

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


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