Q: What are the prime factors of the number 56,463,576?

 A: 2, 3, 13, 13921

Why are those the prime factors of the number 56,463,576?

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 56,463,576

56,463,576
Factor Arrows
228,231,788
Factor Arrows
214,115,894
Factor Arrows
27,057,947
Factor Arrows
32,352,649
Factor Arrows
13180,973
Factor Arrows
1313,921

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, 13921

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 13 x 13,921 = 56,463,576

This can also be written as 23 x 31 x 132 x 13,9211 = 56,463,576

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


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