Q: What are the prime factors of the number 371,472,759?

 A: 3, 7, 1213, 4861

Why are those the prime factors of the number 371,472,759?

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 371,472,759

371,472,759
Factor Arrows
3123,824,253
Factor Arrows
341,274,751
Factor Arrows
75,896,393
Factor Arrows
1,2134,861

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:

3, 7, 1213, 4861

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 1,213 x 4,861 = 371,472,759

This can also be written as 32 x 71 x 1,2131 x 4,8611 = 371,472,759

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


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