Q: What are the prime factors of the number 211,222,020?

 A: 2, 3, 5, 43, 81869

Why are those the prime factors of the number 211,222,020?

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 211,222,020

211,222,020
Factor Arrows
2105,611,010
Factor Arrows
252,805,505
Factor Arrows
317,601,835
Factor Arrows
53,520,367
Factor Arrows
4381,869

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, 3, 5, 43, 81869

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 43 x 81,869 = 211,222,020

This can also be written as 22 x 31 x 51 x 431 x 81,8691 = 211,222,020

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


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