Q: What are the prime factors of the number 453,501,666?

 A: 2, 3, 31, 971

Why are those the prime factors of the number 453,501,666?

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 453,501,666

453,501,666
Factor Arrows
2226,750,833
Factor Arrows
375,583,611
Factor Arrows
325,194,537
Factor Arrows
38,398,179
Factor Arrows
32,799,393
Factor Arrows
3933,131
Factor Arrows
3130,101
Factor Arrows
31971

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, 31, 971

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 31 x 31 x 971 = 453,501,666

This can also be written as 21 x 35 x 312 x 9711 = 453,501,666

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


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