Q: What are the prime factors of the number 181,616,560?

 A: 2, 5, 29, 78283

Why are those the prime factors of the number 181,616,560?

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 181,616,560

181,616,560
Factor Arrows
290,808,280
Factor Arrows
245,404,140
Factor Arrows
222,702,070
Factor Arrows
211,351,035
Factor Arrows
52,270,207
Factor Arrows
2978,283

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, 29, 78283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 29 x 78,283 = 181,616,560

This can also be written as 24 x 51 x 291 x 78,2831 = 181,616,560

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


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