Q: What are the prime factors of the number 262,434,555?

 A: 3, 5, 19, 306941

Why are those the prime factors of the number 262,434,555?

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 262,434,555

262,434,555
Factor Arrows
387,478,185
Factor Arrows
329,159,395
Factor Arrows
55,831,879
Factor Arrows
19306,941

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:

3, 5, 19, 306941

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 19 x 306,941 = 262,434,555

This can also be written as 32 x 51 x 191 x 306,9411 = 262,434,555

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


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