Q: What are the prime factors of the number 838,434,170?

 A: 2, 5, 7, 11977631

Why are those the prime factors of the number 838,434,170?

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 838,434,170

838,434,170
Factor Arrows
2419,217,085
Factor Arrows
583,843,417
Factor Arrows
711,977,631

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, 5, 7, 11977631

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 11,977,631 = 838,434,170

This can also be written as 21 x 51 x 71 x 11,977,6311 = 838,434,170

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


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