Q: What are the prime factors of the number 614,636,172?

 A: 2, 3, 17073227

Why are those the prime factors of the number 614,636,172?

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 614,636,172

614,636,172
Factor Arrows
2307,318,086
Factor Arrows
2153,659,043
Factor Arrows
351,219,681
Factor Arrows
317,073,227

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, 17073227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17,073,227 = 614,636,172

This can also be written as 22 x 32 x 17,073,2271 = 614,636,172

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


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