Q: What are the prime factors of the number 482,880?

 A: 2, 3, 5, 503

Why are those the prime factors of the number 482,880?

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 482,880

482,880
Factor Arrows
2241,440
Factor Arrows
2120,720
Factor Arrows
260,360
Factor Arrows
230,180
Factor Arrows
215,090
Factor Arrows
27,545
Factor Arrows
32,515
Factor Arrows
5503

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, 5, 503

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 3 x 5 x 503 = 482,880

This can also be written as 26 x 31 x 51 x 5031 = 482,880

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


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