Q: What are the prime factors of the number 443,704,734?

 A: 2, 3, 11, 383, 5851

Why are those the prime factors of the number 443,704,734?

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 443,704,734

443,704,734
Factor Arrows
2221,852,367
Factor Arrows
373,950,789
Factor Arrows
324,650,263
Factor Arrows
112,240,933
Factor Arrows
3835,851

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, 383, 5851

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 383 x 5,851 = 443,704,734

This can also be written as 21 x 32 x 111 x 3831 x 5,8511 = 443,704,734

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


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