Q: What are the prime factors of the number 20,851,905?

 A: 3, 5, 37, 37571

Why are those the prime factors of the number 20,851,905?

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 20,851,905

20,851,905
Factor Arrows
36,950,635
Factor Arrows
51,390,127
Factor Arrows
3737,571

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, 37, 37571

We can check our work by multiplying all of the prime factors together: 3 x 5 x 37 x 37,571 = 20,851,905

This can also be written as 31 x 51 x 371 x 37,5711 = 20,851,905

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


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