Q: What are the prime factors of the number 307,134,460?

 A: 2, 5, 409, 37547

Why are those the prime factors of the number 307,134,460?

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 307,134,460

307,134,460
Factor Arrows
2153,567,230
Factor Arrows
276,783,615
Factor Arrows
515,356,723
Factor Arrows
40937,547

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, 5, 409, 37547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 409 x 37,547 = 307,134,460

This can also be written as 22 x 51 x 4091 x 37,5471 = 307,134,460

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


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