Q: What are the prime factors of the number 220,300,000?

 A: 2, 5, 2203

Why are those the prime factors of the number 220,300,000?

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 220,300,000

220,300,000
Factor Arrows
2110,150,000
Factor Arrows
255,075,000
Factor Arrows
227,537,500
Factor Arrows
213,768,750
Factor Arrows
26,884,375
Factor Arrows
51,376,875
Factor Arrows
5275,375
Factor Arrows
555,075
Factor Arrows
511,015
Factor Arrows
52,203

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, 2203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 2,203 = 220,300,000

This can also be written as 25 x 55 x 2,2031 = 220,300,000

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


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