Q: What are the prime factors of the number 213,000,222?

 A: 2, 3, 19, 1868423

Why are those the prime factors of the number 213,000,222?

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 213,000,222

213,000,222
Factor Arrows
2106,500,111
Factor Arrows
335,500,037
Factor Arrows
191,868,423

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, 19, 1868423

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 1,868,423 = 213,000,222

This can also be written as 21 x 31 x 191 x 1,868,4231 = 213,000,222

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


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