Q: What are the prime factors of the number 307,432,012?

 A: 2, 17, 53, 85303

Why are those the prime factors of the number 307,432,012?

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 307,432,012

307,432,012
Factor Arrows
2153,716,006
Factor Arrows
276,858,003
Factor Arrows
174,521,059
Factor Arrows
5385,303

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, 17, 53, 85303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 53 x 85,303 = 307,432,012

This can also be written as 22 x 171 x 531 x 85,3031 = 307,432,012

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


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