Q: What are the prime factors of the number 320,230,134?

 A: 2, 3, 7, 53, 79, 607

Why are those the prime factors of the number 320,230,134?

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 320,230,134

320,230,134
Factor Arrows
2160,115,067
Factor Arrows
353,371,689
Factor Arrows
317,790,563
Factor Arrows
72,541,509
Factor Arrows
5347,953
Factor Arrows
79607

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, 7, 53, 79, 607

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 53 x 79 x 607 = 320,230,134

This can also be written as 21 x 32 x 71 x 531 x 791 x 6071 = 320,230,134

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


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