Q: What are the prime factors of the number 412,112,424?

 A: 2, 3, 17171351

Why are those the prime factors of the number 412,112,424?

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 412,112,424

412,112,424
Factor Arrows
2206,056,212
Factor Arrows
2103,028,106
Factor Arrows
251,514,053
Factor Arrows
317,171,351

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, 17171351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 17,171,351 = 412,112,424

This can also be written as 23 x 31 x 17,171,3511 = 412,112,424

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


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