Q: What are the prime factors of the number 125,534,544?

 A: 2, 3, 43, 60821

Why are those the prime factors of the number 125,534,544?

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 125,534,544

125,534,544
Factor Arrows
262,767,272
Factor Arrows
231,383,636
Factor Arrows
215,691,818
Factor Arrows
27,845,909
Factor Arrows
32,615,303
Factor Arrows
4360,821

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, 43, 60821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 43 x 60,821 = 125,534,544

This can also be written as 24 x 31 x 431 x 60,8211 = 125,534,544

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


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