Q: What are the prime factors of the number 452,671,670?

 A: 2, 5, 11, 571, 7207

Why are those the prime factors of the number 452,671,670?

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 452,671,670

452,671,670
Factor Arrows
2226,335,835
Factor Arrows
545,267,167
Factor Arrows
114,115,197
Factor Arrows
5717,207

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, 5, 11, 571, 7207

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 571 x 7,207 = 452,671,670

This can also be written as 21 x 51 x 111 x 5711 x 7,2071 = 452,671,670

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


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