Q: What are the prime factors of the number 50,170,266?

 A: 2, 3, 103231

Why are those the prime factors of the number 50,170,266?

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 50,170,266

50,170,266
Factor Arrows
225,085,133
Factor Arrows
38,361,711
Factor Arrows
32,787,237
Factor Arrows
3929,079
Factor Arrows
3309,693
Factor Arrows
3103,231

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, 103231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 103,231 = 50,170,266

This can also be written as 21 x 35 x 103,2311 = 50,170,266

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


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