Q: What are the prime factors of the number 262,264,368?

 A: 2, 3, 103, 53047

Why are those the prime factors of the number 262,264,368?

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 262,264,368

262,264,368
Factor Arrows
2131,132,184
Factor Arrows
265,566,092
Factor Arrows
232,783,046
Factor Arrows
216,391,523
Factor Arrows
35,463,841
Factor Arrows
10353,047

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, 103, 53047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 103 x 53,047 = 262,264,368

This can also be written as 24 x 31 x 1031 x 53,0471 = 262,264,368

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


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