Q: What are the prime factors of the number 614,432?

 A: 2, 7, 13, 211

Why are those the prime factors of the number 614,432?

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 614,432

614,432
Factor Arrows
2307,216
Factor Arrows
2153,608
Factor Arrows
276,804
Factor Arrows
238,402
Factor Arrows
219,201
Factor Arrows
72,743
Factor Arrows
13211

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, 7, 13, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 13 x 211 = 614,432

This can also be written as 25 x 71 x 131 x 2111 = 614,432

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


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