Q: What are the prime factors of the number 4,754,934?

 A: 2, 3, 17, 41, 379

Why are those the prime factors of the number 4,754,934?

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 4,754,934

4,754,934
Factor Arrows
22,377,467
Factor Arrows
3792,489
Factor Arrows
3264,163
Factor Arrows
1715,539
Factor Arrows
41379

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, 17, 41, 379

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 41 x 379 = 4,754,934

This can also be written as 21 x 32 x 171 x 411 x 3791 = 4,754,934

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


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