Is 2976 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 2976 is composite or not first we have to find its factors.
Contents
Factors of 2976:
- If we have taken numbers from 1, 2, 3…for checking factors of 2976, we found that 2976 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976. Hence, we must say that 2976 is a composite number.
- Thus, 2976 is the composite number.
- If we multiply 2976 by 1, 2, 3 then we get the multiples of 2976 which are 2976, 5952 and so on.
About the number 2976:
- 2976 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976 and hence it is the composite number.
- 2976 is the even composite number and it is not the perfect square also.
- If we divide 2976 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976 are the factors of 2976.
Note:
- 2976 is not the perfect square.
- Factors of 2976: 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
- Prime factors of 2976: 2, 3, 31
Conclusion:
- 2976 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
- And hence, 2976 is not the prime number.
Multiple Choice Questions:
1) 2976 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2976 are
a) 2976
b) 2, 3, 31
c) 4, 6, 8, 12, 16, 24, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
Ans: c) 4, 6, 8, 12, 16, 24, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
3) 2976 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c