Q: What are the prime factors of the number 443,004,003?

 A: 3, 13, 17, 71, 3137

Why are those the prime factors of the number 443,004,003?

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 443,004,003

443,004,003
Factor Arrows
3147,668,001
Factor Arrows
349,222,667
Factor Arrows
133,786,359
Factor Arrows
17222,727
Factor Arrows
713,137

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:

3, 13, 17, 71, 3137

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 17 x 71 x 3,137 = 443,004,003

This can also be written as 32 x 131 x 171 x 711 x 3,1371 = 443,004,003

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


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