Q: What are the prime factors of the number 34,860,304?

 A: 2, 1307, 1667

Why are those the prime factors of the number 34,860,304?

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 34,860,304

34,860,304
Factor Arrows
217,430,152
Factor Arrows
28,715,076
Factor Arrows
24,357,538
Factor Arrows
22,178,769
Factor Arrows
1,3071,667

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, 1307, 1667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,307 x 1,667 = 34,860,304

This can also be written as 24 x 1,3071 x 1,6671 = 34,860,304

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


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