Q: What are the prime factors of the number 3,839,375?

 A: 5, 6143

Why are those the prime factors of the number 3,839,375?

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 3,839,375

3,839,375
Factor Arrows
5767,875
Factor Arrows
5153,575
Factor Arrows
530,715
Factor Arrows
56,143

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, 6143

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 6,143 = 3,839,375

This can also be written as 54 x 6,1431 = 3,839,375

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


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