Q: What are the prime factors of the number 453,616,212?

 A: 2, 3, 7, 23, 234791

Why are those the prime factors of the number 453,616,212?

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 453,616,212

453,616,212
Factor Arrows
2226,808,106
Factor Arrows
2113,404,053
Factor Arrows
337,801,351
Factor Arrows
75,400,193
Factor Arrows
23234,791

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, 7, 23, 234791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 23 x 234,791 = 453,616,212

This can also be written as 22 x 31 x 71 x 231 x 234,7911 = 453,616,212

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


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