Question

Find the prime factorization of 30

Answer 1

30 can be written as

3 x 10

3 cannot be broken down any further

10 can be written as

5 x 2

5 and 2 cannot be broken down any further

so the prime factorization will be

3 x 5 x 2

hope this helps

Answer 2

Let us start dividing 30 by small prime numbers in increasing order .

the smallest prime number we use is 2

Let's divide 30 by 2 quotient is 15

so we get : 30 = 2* 15

15 is not a prime number , it can be factorized further .

now we start dividing 15

2 can not divide 15 so we move to next prime number that is 3

can 3 divide 15? yes .

we get a quotient 5

so 30 is now : 2* 15 = 2* 3*5

now we have to work on 5 but 5 is a prime number so we stop here .

the prime factorization of 30 is : 2* 3* 5

Answer : 2 *3*5