Q: What are the prime factors of the number 222,530,644?

 A: 2, 7, 281, 28283

Why are those the prime factors of the number 222,530,644?

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 222,530,644

222,530,644
Factor Arrows
2111,265,322
Factor Arrows
255,632,661
Factor Arrows
77,947,523
Factor Arrows
28128,283

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, 7, 281, 28283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 281 x 28,283 = 222,530,644

This can also be written as 22 x 71 x 2811 x 28,2831 = 222,530,644

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


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