Q: What are the prime factors of the number 412,310,444?

 A: 2, 7, 13, 1132721

Why are those the prime factors of the number 412,310,444?

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 412,310,444

412,310,444
Factor Arrows
2206,155,222
Factor Arrows
2103,077,611
Factor Arrows
714,725,373
Factor Arrows
131,132,721

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, 7, 13, 1132721

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13 x 1,132,721 = 412,310,444

This can also be written as 22 x 71 x 131 x 1,132,7211 = 412,310,444

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


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