Q: What are the prime factors of the number 423,341,016?

 A: 2, 3, 7, 73, 34519

Why are those the prime factors of the number 423,341,016?

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 423,341,016

423,341,016
Factor Arrows
2211,670,508
Factor Arrows
2105,835,254
Factor Arrows
252,917,627
Factor Arrows
317,639,209
Factor Arrows
72,519,887
Factor Arrows
7334,519

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, 73, 34519

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 73 x 34,519 = 423,341,016

This can also be written as 23 x 31 x 71 x 731 x 34,5191 = 423,341,016

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


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