Q: What are the prime factors of the number 212,020,332?

 A: 2, 3, 1051, 16811

Why are those the prime factors of the number 212,020,332?

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 212,020,332

212,020,332
Factor Arrows
2106,010,166
Factor Arrows
253,005,083
Factor Arrows
317,668,361
Factor Arrows
1,05116,811

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, 1051, 16811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 1,051 x 16,811 = 212,020,332

This can also be written as 22 x 31 x 1,0511 x 16,8111 = 212,020,332

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


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