Q: What are the prime factors of the number 35,500,545?

 A: 3, 5, 97, 2711

Why are those the prime factors of the number 35,500,545?

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 35,500,545

35,500,545
Factor Arrows
311,833,515
Factor Arrows
33,944,505
Factor Arrows
31,314,835
Factor Arrows
5262,967
Factor Arrows
972,711

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, 97, 2711

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 97 x 2,711 = 35,500,545

This can also be written as 33 x 51 x 971 x 2,7111 = 35,500,545

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


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