Q: What are the prime factors of the number 137,722,496?

 A: 2, 1075957

Why are those the prime factors of the number 137,722,496?

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 137,722,496

137,722,496
Factor Arrows
268,861,248
Factor Arrows
234,430,624
Factor Arrows
217,215,312
Factor Arrows
28,607,656
Factor Arrows
24,303,828
Factor Arrows
22,151,914
Factor Arrows
21,075,957

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, 1075957

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 1,075,957 = 137,722,496

This can also be written as 27 x 1,075,9571 = 137,722,496

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


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