Q: What are the prime factors of the number 35,054,007?

 A: 3, 1669, 7001

Why are those the prime factors of the number 35,054,007?

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 35,054,007

35,054,007
Factor Arrows
311,684,669
Factor Arrows
1,6697,001

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, 1669, 7001

We can check our work by multiplying all of the prime factors together: 3 x 1,669 x 7,001 = 35,054,007

This can also be written as 31 x 1,6691 x 7,0011 = 35,054,007

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


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