Q: What are the prime factors of the number 222,452,450?

 A: 2, 5, 11, 83, 443

Why are those the prime factors of the number 222,452,450?

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 222,452,450

222,452,450
Factor Arrows
2111,226,225
Factor Arrows
522,245,245
Factor Arrows
54,449,049
Factor Arrows
11404,459
Factor Arrows
1136,769
Factor Arrows
83443

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, 83, 443

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 11 x 83 x 443 = 222,452,450

This can also be written as 21 x 52 x 112 x 831 x 4431 = 222,452,450

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


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