Q: What are the prime factors of the number 56,326,344?

 A: 2, 3, 2346931

Why are those the prime factors of the number 56,326,344?

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 56,326,344

56,326,344
Factor Arrows
228,163,172
Factor Arrows
214,081,586
Factor Arrows
27,040,793
Factor Arrows
32,346,931

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, 2346931

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 2,346,931 = 56,326,344

This can also be written as 23 x 31 x 2,346,9311 = 56,326,344

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


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