All numbers divisible by both 12 and 20 are also divisible by which of the following?
Choose 1 answer:
A 41
B 30
C 21
D 13
E 23
Answers
Answer:
B.30
Step-by-step explanation:
Because 12 and 20 both are even numbers so answer would be 30 since it's the only even number here.
You can explain it by following example,
Let us consider a number 48 it is divisible by both 12 I.e. 2 and 20 I.e. 2.4 now,
48/41...1.170731707...
48/30...1.6 (Its the only finite number)
48/21...2.285714...
48/13...3.692307...
48/23...2.086956...
Answer:
There are 7 steps in this answer:-
Step-by-step explanation:
1. A number is divisible by another number (a divisor) if its prime factorization contains the prime factorization of the divisor.
2. The prime factorization of 12 is 2 x 2 x 3.
3. The prime factorization of 20 is 2 x 2 x 5.
4. So, any number divisible by both must have 2 x 2 x 3 x 5 as part of its prime factorization.
5. All numbers which divide such a number will have a factorization which is part of 2 x 2 x 3 x 5.
6. The prime factorization of 30 is 2 x 3 x 5.
7. Since 2 x 3 x 5 is part of 2 x 2 x 3 x 5, all numbers which are divisible by 12 and 20 are also divisible by 30.