Q: What are the prime factors of the number 220,434,200?

 A: 2, 5, 7, 19, 8287

Why are those the prime factors of the number 220,434,200?

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 220,434,200

220,434,200
Factor Arrows
2110,217,100
Factor Arrows
255,108,550
Factor Arrows
227,554,275
Factor Arrows
55,510,855
Factor Arrows
51,102,171
Factor Arrows
7157,453
Factor Arrows
198,287

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, 19, 8287

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 7 x 19 x 8,287 = 220,434,200

This can also be written as 23 x 52 x 71 x 191 x 8,2871 = 220,434,200

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


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