Q: What are the prime factors of the number 211,211,620?

 A: 2, 5, 191, 55291

Why are those the prime factors of the number 211,211,620?

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 211,211,620

211,211,620
Factor Arrows
2105,605,810
Factor Arrows
252,802,905
Factor Arrows
510,560,581
Factor Arrows
19155,291

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, 191, 55291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 191 x 55,291 = 211,211,620

This can also be written as 22 x 51 x 1911 x 55,2911 = 211,211,620

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


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