Q: What are the prime factors of the number 80,050,560?

 A: 2, 3, 5, 173, 241

Why are those the prime factors of the number 80,050,560?

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 80,050,560

80,050,560
Factor Arrows
240,025,280
Factor Arrows
220,012,640
Factor Arrows
210,006,320
Factor Arrows
25,003,160
Factor Arrows
22,501,580
Factor Arrows
21,250,790
Factor Arrows
2625,395
Factor Arrows
3208,465
Factor Arrows
541,693
Factor Arrows
173241

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, 5, 173, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 173 x 241 = 80,050,560

This can also be written as 27 x 31 x 51 x 1731 x 2411 = 80,050,560

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


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