Q: What are the prime factors of the number 220,504,340?

 A: 2, 5, 7, 1575031

Why are those the prime factors of the number 220,504,340?

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 220,504,340

220,504,340
Factor Arrows
2110,252,170
Factor Arrows
255,126,085
Factor Arrows
511,025,217
Factor Arrows
71,575,031

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, 7, 1575031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 1,575,031 = 220,504,340

This can also be written as 22 x 51 x 71 x 1,575,0311 = 220,504,340

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


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