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

 A: 3, 7, 181, 58411

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

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 222,020,211

222,020,211
Factor Arrows
374,006,737
Factor Arrows
710,572,391
Factor Arrows
18158,411

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:

3, 7, 181, 58411

We can check our work by multiplying all of the prime factors together: 3 x 7 x 181 x 58,411 = 222,020,211

This can also be written as 31 x 71 x 1811 x 58,4111 = 222,020,211

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


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