Q: What are the prime factors of the number 537,984?

 A: 2, 3, 467

Why are those the prime factors of the number 537,984?

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 537,984

537,984
Factor Arrows
2268,992
Factor Arrows
2134,496
Factor Arrows
267,248
Factor Arrows
233,624
Factor Arrows
216,812
Factor Arrows
28,406
Factor Arrows
24,203
Factor Arrows
31,401
Factor Arrows
3467

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, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 467 = 537,984

This can also be written as 27 x 32 x 4671 = 537,984

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


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