Q: What are the prime factors of the number 411,124,212?

 A: 2, 3, 347, 32911

Why are those the prime factors of the number 411,124,212?

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 411,124,212

411,124,212
Factor Arrows
2205,562,106
Factor Arrows
2102,781,053
Factor Arrows
334,260,351
Factor Arrows
311,420,117
Factor Arrows
34732,911

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, 347, 32911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 347 x 32,911 = 411,124,212

This can also be written as 22 x 32 x 3471 x 32,9111 = 411,124,212

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


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