Q: What are the prime factors of the number 71,952?

 A: 2, 3, 1499

Why are those the prime factors of the number 71,952?

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 71,952

71,952
Factor Arrows
235,976
Factor Arrows
217,988
Factor Arrows
28,994
Factor Arrows
24,497
Factor Arrows
31,499

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, 1499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,499 = 71,952

This can also be written as 24 x 31 x 1,4991 = 71,952

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


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