Q: What are the prime factors of the number 482,085,648?

 A: 2, 3, 11, 101449

Why are those the prime factors of the number 482,085,648?

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 482,085,648

482,085,648
Factor Arrows
2241,042,824
Factor Arrows
2120,521,412
Factor Arrows
260,260,706
Factor Arrows
230,130,353
Factor Arrows
310,043,451
Factor Arrows
33,347,817
Factor Arrows
31,115,939
Factor Arrows
11101,449

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, 11, 101449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 101,449 = 482,085,648

This can also be written as 24 x 33 x 111 x 101,4491 = 482,085,648

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


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