Q: What are the prime factors of the number 455,054,237?

 A: 11, 19, 53, 41081

Why are those the prime factors of the number 455,054,237?

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 455,054,237

455,054,237
Factor Arrows
1141,368,567
Factor Arrows
192,177,293
Factor Arrows
5341,081

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:

11, 19, 53, 41081

We can check our work by multiplying all of the prime factors together: 11 x 19 x 53 x 41,081 = 455,054,237

This can also be written as 111 x 191 x 531 x 41,0811 = 455,054,237

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


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