Q: What are the prime factors of the number 671,754,304?

 A: 2, 13, 151, 5347

Why are those the prime factors of the number 671,754,304?

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 671,754,304

671,754,304
Factor Arrows
2335,877,152
Factor Arrows
2167,938,576
Factor Arrows
283,969,288
Factor Arrows
241,984,644
Factor Arrows
220,992,322
Factor Arrows
210,496,161
Factor Arrows
13807,397
Factor Arrows
1515,347

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, 13, 151, 5347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13 x 151 x 5,347 = 671,754,304

This can also be written as 26 x 131 x 1511 x 5,3471 = 671,754,304

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


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