Q: What are the prime factors of the number 269,026,150?

 A: 2, 5, 463, 11621

Why are those the prime factors of the number 269,026,150?

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 269,026,150

269,026,150
Factor Arrows
2134,513,075
Factor Arrows
526,902,615
Factor Arrows
55,380,523
Factor Arrows
46311,621

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, 463, 11621

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 463 x 11,621 = 269,026,150

This can also be written as 21 x 52 x 4631 x 11,6211 = 269,026,150

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


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