Q: What are the prime factors of the number 141,642,640?

 A: 2, 5, 17, 104149

Why are those the prime factors of the number 141,642,640?

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 141,642,640

141,642,640
Factor Arrows
270,821,320
Factor Arrows
235,410,660
Factor Arrows
217,705,330
Factor Arrows
28,852,665
Factor Arrows
51,770,533
Factor Arrows
17104,149

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, 5, 17, 104149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 104,149 = 141,642,640

This can also be written as 24 x 51 x 171 x 104,1491 = 141,642,640

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


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