Q: What are the prime factors of the number 107,583,048?

 A: 2, 3, 773, 1933

Why are those the prime factors of the number 107,583,048?

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 107,583,048

107,583,048
Factor Arrows
253,791,524
Factor Arrows
226,895,762
Factor Arrows
213,447,881
Factor Arrows
34,482,627
Factor Arrows
31,494,209
Factor Arrows
7731,933

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, 773, 1933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 773 x 1,933 = 107,583,048

This can also be written as 23 x 32 x 7731 x 1,9331 = 107,583,048

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


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