Q: What are the prime factors of the number 257,701,472?

 A: 2, 7, 113, 10181

Why are those the prime factors of the number 257,701,472?

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 257,701,472

257,701,472
Factor Arrows
2128,850,736
Factor Arrows
264,425,368
Factor Arrows
232,212,684
Factor Arrows
216,106,342
Factor Arrows
28,053,171
Factor Arrows
71,150,453
Factor Arrows
11310,181

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, 7, 113, 10181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 113 x 10,181 = 257,701,472

This can also be written as 25 x 71 x 1131 x 10,1811 = 257,701,472

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


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