Q: What are the prime factors of the number 76,785,174?

 A: 2, 3, 4265843

Why are those the prime factors of the number 76,785,174?

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 76,785,174

76,785,174
Factor Arrows
238,392,587
Factor Arrows
312,797,529
Factor Arrows
34,265,843

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, 4265843

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 4,265,843 = 76,785,174

This can also be written as 21 x 32 x 4,265,8431 = 76,785,174

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


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