Q: What are the prime factors of the number 351,510,112?

 A: 2, 10984691

Why are those the prime factors of the number 351,510,112?

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 351,510,112

351,510,112
Factor Arrows
2175,755,056
Factor Arrows
287,877,528
Factor Arrows
243,938,764
Factor Arrows
221,969,382
Factor Arrows
210,984,691

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, 10984691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 10,984,691 = 351,510,112

This can also be written as 25 x 10,984,6911 = 351,510,112

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


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