Q: What are the prime factors of the number 670,126,112?

 A: 2, 101, 207341

Why are those the prime factors of the number 670,126,112?

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 670,126,112

670,126,112
Factor Arrows
2335,063,056
Factor Arrows
2167,531,528
Factor Arrows
283,765,764
Factor Arrows
241,882,882
Factor Arrows
220,941,441
Factor Arrows
101207,341

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, 101, 207341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 101 x 207,341 = 670,126,112

This can also be written as 25 x 1011 x 207,3411 = 670,126,112

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


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