Q: What are the prime factors of the number 224,030,322?

 A: 2, 3, 101, 123229

Why are those the prime factors of the number 224,030,322?

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 224,030,322

224,030,322
Factor Arrows
2112,015,161
Factor Arrows
337,338,387
Factor Arrows
312,446,129
Factor Arrows
101123,229

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, 101, 123229

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 101 x 123,229 = 224,030,322

This can also be written as 21 x 32 x 1011 x 123,2291 = 224,030,322

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


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