Q: What are the prime factors of the number 56,928,378?

 A: 2, 3, 13, 729851

Why are those the prime factors of the number 56,928,378?

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 56,928,378

56,928,378
Factor Arrows
228,464,189
Factor Arrows
39,488,063
Factor Arrows
13729,851

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, 13, 729851

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 729,851 = 56,928,378

This can also be written as 21 x 31 x 131 x 729,8511 = 56,928,378

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


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