Q: What are the prime factors of the number 223,245,452?

 A: 2, 23, 163, 14887

Why are those the prime factors of the number 223,245,452?

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 223,245,452

223,245,452
Factor Arrows
2111,622,726
Factor Arrows
255,811,363
Factor Arrows
232,426,581
Factor Arrows
16314,887

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, 23, 163, 14887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 163 x 14,887 = 223,245,452

This can also be written as 22 x 231 x 1631 x 14,8871 = 223,245,452

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


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