Q: What are the prime factors of the number 76,173,748?

 A: 2, 7, 73, 83, 449

Why are those the prime factors of the number 76,173,748?

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 76,173,748

76,173,748
Factor Arrows
238,086,874
Factor Arrows
219,043,437
Factor Arrows
72,720,491
Factor Arrows
7337,267
Factor Arrows
83449

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, 73, 83, 449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 73 x 83 x 449 = 76,173,748

This can also be written as 22 x 71 x 731 x 831 x 4491 = 76,173,748

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


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