Q: What are the prime factors of the number 619,136?

 A: 2, 7, 691

Why are those the prime factors of the number 619,136?

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 619,136

619,136
Factor Arrows
2309,568
Factor Arrows
2154,784
Factor Arrows
277,392
Factor Arrows
238,696
Factor Arrows
219,348
Factor Arrows
29,674
Factor Arrows
24,837
Factor Arrows
7691

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, 7, 691

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 7 x 691 = 619,136

This can also be written as 27 x 71 x 6911 = 619,136

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


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