Q: What are the prime factors of the number 76,446,990?

 A: 2, 3, 5, 94379

Why are those the prime factors of the number 76,446,990?

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 76,446,990

76,446,990
Factor Arrows
238,223,495
Factor Arrows
312,741,165
Factor Arrows
34,247,055
Factor Arrows
31,415,685
Factor Arrows
3471,895
Factor Arrows
594,379

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, 5, 94379

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 94,379 = 76,446,990

This can also be written as 21 x 34 x 51 x 94,3791 = 76,446,990

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


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