Q: What are the prime factors of the number 71,136?

 A: 2, 3, 13, 19

Why are those the prime factors of the number 71,136?

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 71,136

71,136
Factor Arrows
235,568
Factor Arrows
217,784
Factor Arrows
28,892
Factor Arrows
24,446
Factor Arrows
22,223
Factor Arrows
3741
Factor Arrows
3247
Factor Arrows
1319

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, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 = 71,136

This can also be written as 25 x 32 x 131 x 191 = 71,136

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


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