Q: What are the prime factors of the number 320,527,404?

 A: 2, 3, 47, 189437

Why are those the prime factors of the number 320,527,404?

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 320,527,404

320,527,404
Factor Arrows
2160,263,702
Factor Arrows
280,131,851
Factor Arrows
326,710,617
Factor Arrows
38,903,539
Factor Arrows
47189,437

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, 47, 189437

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 47 x 189,437 = 320,527,404

This can also be written as 22 x 32 x 471 x 189,4371 = 320,527,404

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


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