Q: What are the prime factors of the number 266,003,100?

 A: 2, 3, 5, 11, 97, 277

Why are those the prime factors of the number 266,003,100?

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 266,003,100

266,003,100
Factor Arrows
2133,001,550
Factor Arrows
266,500,775
Factor Arrows
322,166,925
Factor Arrows
37,388,975
Factor Arrows
51,477,795
Factor Arrows
5295,559
Factor Arrows
1126,869
Factor Arrows
97277

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, 11, 97, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 11 x 97 x 277 = 266,003,100

This can also be written as 22 x 32 x 52 x 111 x 971 x 2771 = 266,003,100

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


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