Q: What are the prime factors of the number 220,423,600?

 A: 2, 5, 551059

Why are those the prime factors of the number 220,423,600?

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 220,423,600

220,423,600
Factor Arrows
2110,211,800
Factor Arrows
255,105,900
Factor Arrows
227,552,950
Factor Arrows
213,776,475
Factor Arrows
52,755,295
Factor Arrows
5551,059

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, 551059

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 551,059 = 220,423,600

This can also be written as 24 x 52 x 551,0591 = 220,423,600

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


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