Q: What are the prime factors of the number 254,463,388?

 A: 2, 53, 151, 7949

Why are those the prime factors of the number 254,463,388?

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 254,463,388

254,463,388
Factor Arrows
2127,231,694
Factor Arrows
263,615,847
Factor Arrows
531,200,299
Factor Arrows
1517,949

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, 53, 151, 7949

We can check our work by multiplying all of the prime factors together: 2 x 2 x 53 x 151 x 7,949 = 254,463,388

This can also be written as 22 x 531 x 1511 x 7,9491 = 254,463,388

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


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