Q: What are the prime factors of the number 466,446,222?

 A: 2, 3, 11, 83, 9461

Why are those the prime factors of the number 466,446,222?

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 466,446,222

466,446,222
Factor Arrows
2233,223,111
Factor Arrows
377,741,037
Factor Arrows
325,913,679
Factor Arrows
38,637,893
Factor Arrows
11785,263
Factor Arrows
839,461

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, 83, 9461

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 83 x 9,461 = 466,446,222

This can also be written as 21 x 33 x 111 x 831 x 9,4611 = 466,446,222

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


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