Q: What are the prime factors of the number 251,441,440?

 A: 2, 5, 19, 107, 773

Why are those the prime factors of the number 251,441,440?

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 251,441,440

251,441,440
Factor Arrows
2125,720,720
Factor Arrows
262,860,360
Factor Arrows
231,430,180
Factor Arrows
215,715,090
Factor Arrows
27,857,545
Factor Arrows
51,571,509
Factor Arrows
1982,711
Factor Arrows
107773

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, 19, 107, 773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 19 x 107 x 773 = 251,441,440

This can also be written as 25 x 51 x 191 x 1071 x 7731 = 251,441,440

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


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