Q: What are the prime factors of the number 56,521,048?

 A: 2, 19, 19571

Why are those the prime factors of the number 56,521,048?

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 56,521,048

56,521,048
Factor Arrows
228,260,524
Factor Arrows
214,130,262
Factor Arrows
27,065,131
Factor Arrows
19371,849
Factor Arrows
1919,571

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, 19, 19571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 19 x 19,571 = 56,521,048

This can also be written as 23 x 192 x 19,5711 = 56,521,048

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


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