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This is because a factor is defined in terms of multiplication, not addition. One integer, p, is a factor of another integer, q, if there is some integer, r (which is not equal to 1) such that p*r = q.

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Q: Why doesn't prime factorization work on addition?
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How do you show your work for prime factorization 45?

45 Divide by three. 15,3 Divide by three. 5,3,3 Stop.


What is the prime factorization of 36 with work shown?

36 18,2 9,2,2 3,3,2,2 2 x 2 x 3 x 3 = 36


Do factor trees always work for determining the greatest common factors?

If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.


How do you show your work for the prime factorization of 44?

44 Divide by two. 22,2 Divide by two. 11,2,2 Stop. 2 x 2 x 11 = 44


How do you work out the prime factorization of 100?

100 50,2 25,2,2 5,5,2,2

Related questions

What is the prime factorization of 23 with work shown?

23 is already prime.


How do you show your work for prime factorization number 45?

456


What is the prime factorization of 2x2x5x11 showing your work?

all the numbers are prime numbers therefore the prime factorization of 2*2*5*11=2*2*5*11


How do you show work for the prime factorization of 13?

13 is already prime. Just write it down.


How do you show your work for the prime factorization of 18?

18 9,2 3,3,2


What is the prime factorization tree of 60 with work?

60 30,2 15,2,2 5,3,2,2


How do you show work for prime prime factorization of 15?

Divide by 3 or 5. 3 x 5 = 15


Prime factorization of 760 with work?

As a product of its prime factors: 2*2*2*5*19 = 760


how do you work out prime factorization of 140?

It is: 2*2*5*7 = 140 by dividing it by each prime number that has no remainder


What is the prime factorization tree answer for 24 showing the work?

24 12,2 6,2,2 3,2,2,2


How can you check your work for prime factorization?

Multiply the factors. They should equal the original number.


How can you work a prime factorization for 111?

111 3,37 3 x 37 = 111