Q: What are the prime factors of the number 47,314,962?

 A: 2, 3, 876203

Why are those the prime factors of the number 47,314,962?

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 47,314,962

47,314,962
Factor Arrows
223,657,481
Factor Arrows
37,885,827
Factor Arrows
32,628,609
Factor Arrows
3876,203

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, 876203

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 876,203 = 47,314,962

This can also be written as 21 x 33 x 876,2031 = 47,314,962

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


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