Q: What are the prime factors of the number 24,094,285?

 A: 5, 31, 359, 433

Why are those the prime factors of the number 24,094,285?

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 24,094,285

24,094,285
Factor Arrows
54,818,857
Factor Arrows
31155,447
Factor Arrows
359433

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:

5, 31, 359, 433

We can check our work by multiplying all of the prime factors together: 5 x 31 x 359 x 433 = 24,094,285

This can also be written as 51 x 311 x 3591 x 4331 = 24,094,285

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


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