Q: What are the prime factors of the number 4,924,935?

 A: 3, 5, 191

Why are those the prime factors of the number 4,924,935?

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 4,924,935

4,924,935
Factor Arrows
31,641,645
Factor Arrows
3547,215
Factor Arrows
3182,405
Factor Arrows
536,481
Factor Arrows
191191

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, 191

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 191 x 191 = 4,924,935

This can also be written as 33 x 51 x 1912 = 4,924,935

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


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