Q: What are the prime factors of the number 803,416?

 A: 2, 29, 3463

Why are those the prime factors of the number 803,416?

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 803,416

803,416
Factor Arrows
2401,708
Factor Arrows
2200,854
Factor Arrows
2100,427
Factor Arrows
293,463

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, 29, 3463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 3,463 = 803,416

This can also be written as 23 x 291 x 3,4631 = 803,416

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


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