Is 660 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 660 is composite or not first we have to find its factors.
Contents
Factors of 660:
- If we have taken numbers from 1, 2, 3…for checking factors of 660, we found that 660 has factors 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660. Hence, we must say that 660 is a composite number.
- Thus, 660 is the composite umber.
- If we multiply 660 by 1, 2, 3 then we get the multiples of 660 which are 660, 1320 and so on.
About the number 660:
- 660 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660 and hence it is the composite number.
- 660 is the even composite number and it is not the perfect square also.
- If we divide 660 by 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660 are the factors of 660.
Note:
- 660 is not the perfect square.
- Factors of 660: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
- Prime factors of 660: 2, 3, 5, 11
Conclusion:
- 660 is the composite number which has factors 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
- And hence, 660 is not the prime number.
Multiple Choice Questions:
1) 660 is a
a) Not a perfect square number
b) Even number
c) Composite number
d) all
Ans: d) all
2) The prime and composite factors of a composite number 660 are
a) 1
b) 2, 3, 5, 11
c) 1, 4, 6, 10, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
d) 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
Ans: d) 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
3) 660 is the even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330 and 660
b) More than two factors
c) Divisible by 2
d) all
Ans: d) all