Q: What are the prime factors of the number 286,156,464?

 A: 2, 3, 11, 67, 8089

Why are those the prime factors of the number 286,156,464?

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 286,156,464

286,156,464
Factor Arrows
2143,078,232
Factor Arrows
271,539,116
Factor Arrows
235,769,558
Factor Arrows
217,884,779
Factor Arrows
35,961,593
Factor Arrows
11541,963
Factor Arrows
678,089

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, 11, 67, 8089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 67 x 8,089 = 286,156,464

This can also be written as 24 x 31 x 111 x 671 x 8,0891 = 286,156,464

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


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