A number between 10 and 20 is both a factor of 60 and a multiple of 6. what is this number?
Answers
Answered by
1
10
Step-by-step explanation:
Answered by
0
Answer:
Number = 12.
Step-by-step explanation:
Given :- The given range is 10 to 20.
The number must be a factor of 60 and also a multiple of 6.
To Find :- Find the number.
Solution :-
Let the number be x.
Acc. to the question, x must be between 10 and 20.
Multiples of 6 between 10 and 20 = 12, 18
Prime factorization of 60 = 2 × 2 × 5 × 3
∴ Factors of 60 are 2, 3, 5, 4, 6, 10, 20, 12, 15, 30, 60.
The factors of 60 in the range 10 to 20 are: 10, 12, 15, 20.
Therefore, x = 12
Therefore, 12 is the number in the range 10 to 20 which is a factor of 60 and also a multiple of 6.
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