Q: What are the prime factors of the number 34,300,320?

 A: 2, 3, 5, 19, 3761

Why are those the prime factors of the number 34,300,320?

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 34,300,320

34,300,320
Factor Arrows
217,150,160
Factor Arrows
28,575,080
Factor Arrows
24,287,540
Factor Arrows
22,143,770
Factor Arrows
21,071,885
Factor Arrows
3357,295
Factor Arrows
571,459
Factor Arrows
193,761

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, 3, 5, 19, 3761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 3,761 = 34,300,320

This can also be written as 25 x 31 x 51 x 191 x 3,7611 = 34,300,320

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


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