Is 4977 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 4977 is composite or not first we have to find its factors.
Contents
Factors of 4977:
- If we have taken numbers from 1, 2, 3…for checking factors of 4977, we found that 4977 has factors 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977. Hence, we must say that 4977 is a composite number.
- Thus, 4977 is the composite number.
- If we multiply 4977 by 1, 2, 3 then we get the multiples of 4977 which are 4977, 9954 and so on.
4977 is a Composite number or Prime number
About the number 4977:
- 4977 has more than two factors which 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977 are hence it is the composite number.
- 4977 is the odd composite number and it is not the perfect square also.
- If we divide 4977 by 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977 then we get remainder as zero. Hence 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977 are the factors of 4977.
Note:
- 4977 is not the perfect square.
- Factors of 4977:1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977
- Prime factors of 4977:3, 7, 79
Conclusion:
- 4977 is the composite number which has factors 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977.
- And hence, 4977 is not the prime number.
Multiple Choice Questions:
1) 4977 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 4977 are
a) 1
b) 3, 7, 79
c) 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977
d) 1, 9, 21, 63, 237, 553, 711, 1659 and 4977
Ans: b) 3, 7, 79
3) 4977 is the composite number because
a) It has factors 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659 and 4977
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b
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