Q: What are the prime factors of the number 39,156,015?

 A: 3, 5, 17, 43, 3571

Why are those the prime factors of the number 39,156,015?

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 39,156,015

39,156,015
Factor Arrows
313,052,005
Factor Arrows
52,610,401
Factor Arrows
17153,553
Factor Arrows
433,571

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, 17, 43, 3571

We can check our work by multiplying all of the prime factors together: 3 x 5 x 17 x 43 x 3,571 = 39,156,015

This can also be written as 31 x 51 x 171 x 431 x 3,5711 = 39,156,015

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


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