Q: What are the prime factors of the number 35,055,412?

 A: 2, 7, 97, 12907

Why are those the prime factors of the number 35,055,412?

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 35,055,412

35,055,412
Factor Arrows
217,527,706
Factor Arrows
28,763,853
Factor Arrows
71,251,979
Factor Arrows
9712,907

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, 7, 97, 12907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 97 x 12,907 = 35,055,412

This can also be written as 22 x 71 x 971 x 12,9071 = 35,055,412

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


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