Q: What are the prime factors of the number 410,032,026?

 A: 2, 3, 113, 201589

Why are those the prime factors of the number 410,032,026?

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 410,032,026

410,032,026
Factor Arrows
2205,016,013
Factor Arrows
368,338,671
Factor Arrows
322,779,557
Factor Arrows
113201,589

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, 113, 201589

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 113 x 201,589 = 410,032,026

This can also be written as 21 x 32 x 1131 x 201,5891 = 410,032,026

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


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