Q: What are the prime factors of the number 348,841,386?

 A: 2, 3, 19380077

Why are those the prime factors of the number 348,841,386?

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 348,841,386

348,841,386
Factor Arrows
2174,420,693
Factor Arrows
358,140,231
Factor Arrows
319,380,077

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, 19380077

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19,380,077 = 348,841,386

This can also be written as 21 x 32 x 19,380,0771 = 348,841,386

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


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