Q: What are the prime factors of the number 200,432,212?

 A: 2, 23, 2178611

Why are those the prime factors of the number 200,432,212?

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 200,432,212

200,432,212
Factor Arrows
2100,216,106
Factor Arrows
250,108,053
Factor Arrows
232,178,611

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, 23, 2178611

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 2,178,611 = 200,432,212

This can also be written as 22 x 231 x 2,178,6111 = 200,432,212

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


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