Q: What are the prime factors of the number 170,600,480?

 A: 2, 5, 1066253

Why are those the prime factors of the number 170,600,480?

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 170,600,480

170,600,480
Factor Arrows
285,300,240
Factor Arrows
242,650,120
Factor Arrows
221,325,060
Factor Arrows
210,662,530
Factor Arrows
25,331,265
Factor Arrows
51,066,253

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, 1066253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 1,066,253 = 170,600,480

This can also be written as 25 x 51 x 1,066,2531 = 170,600,480

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


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