Q: What are the prime factors of the number 443,012,355?

 A: 3, 5, 3281573

Why are those the prime factors of the number 443,012,355?

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 443,012,355

443,012,355
Factor Arrows
3147,670,785
Factor Arrows
349,223,595
Factor Arrows
316,407,865
Factor Arrows
53,281,573

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, 5, 3281573

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 3,281,573 = 443,012,355

This can also be written as 33 x 51 x 3,281,5731 = 443,012,355

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


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