Q: What are the prime factors of the number 76,048?

 A: 2, 7, 97

Why are those the prime factors of the number 76,048?

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 76,048

76,048
Factor Arrows
238,024
Factor Arrows
219,012
Factor Arrows
29,506
Factor Arrows
24,753
Factor Arrows
7679
Factor Arrows
797

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, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 97 = 76,048

This can also be written as 24 x 72 x 971 = 76,048

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


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