Q: What are the prime factors of the number 76,300,086?

 A: 2, 3, 19, 113, 5923

Why are those the prime factors of the number 76,300,086?

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 76,300,086

76,300,086
Factor Arrows
238,150,043
Factor Arrows
312,716,681
Factor Arrows
19669,299
Factor Arrows
1135,923

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, 19, 113, 5923

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 113 x 5,923 = 76,300,086

This can also be written as 21 x 31 x 191 x 1131 x 5,9231 = 76,300,086

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


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