Q: What are the prime factors of the number 257,705,484?

 A: 2, 3, 29, 740533

Why are those the prime factors of the number 257,705,484?

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 257,705,484

257,705,484
Factor Arrows
2128,852,742
Factor Arrows
264,426,371
Factor Arrows
321,475,457
Factor Arrows
29740,533

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, 3, 29, 740533

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 29 x 740,533 = 257,705,484

This can also be written as 22 x 31 x 291 x 740,5331 = 257,705,484

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


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