Q: What are the prime factors of the number 223,225,020?

 A: 2, 3, 5, 1240139

Why are those the prime factors of the number 223,225,020?

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 223,225,020

223,225,020
Factor Arrows
2111,612,510
Factor Arrows
255,806,255
Factor Arrows
318,602,085
Factor Arrows
36,200,695
Factor Arrows
51,240,139

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, 5, 1240139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,240,139 = 223,225,020

This can also be written as 22 x 32 x 51 x 1,240,1391 = 223,225,020

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


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