Q: What are the prime factors of the number 96,815,764?

 A: 2, 79, 151, 2029

Why are those the prime factors of the number 96,815,764?

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 96,815,764

96,815,764
Factor Arrows
248,407,882
Factor Arrows
224,203,941
Factor Arrows
79306,379
Factor Arrows
1512,029

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, 79, 151, 2029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 79 x 151 x 2,029 = 96,815,764

This can also be written as 22 x 791 x 1511 x 2,0291 = 96,815,764

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


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