Q: What are the prime factors of the number 484,416?

 A: 2, 3, 29

Why are those the prime factors of the number 484,416?

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 484,416

484,416
Factor Arrows
2242,208
Factor Arrows
2121,104
Factor Arrows
260,552
Factor Arrows
230,276
Factor Arrows
215,138
Factor Arrows
27,569
Factor Arrows
32,523
Factor Arrows
3841
Factor Arrows
2929

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, 29

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 3 x 29 x 29 = 484,416

This can also be written as 26 x 32 x 292 = 484,416

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


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