Is 4972 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 4972 is composite or not first we have to find its factors.
Contents
Factors of 4972:
- If we have taken numbers from 1, 2, 3…for checking factors of 4972 we found that 4972 has factors 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972. Hence, we must say that 4972 is a composite number.
- Thus, 4972 is the composite number.
- If we multiply 4972 by 1, 2, 3 then we get the multiples of 4972 which are 4972, 9944 and so on.
About the number 4972:
- 4972 has more than two factors which are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972 and hence it is the composite number.
- 4972 is the even composite number and it is not the perfect square also.
- If we divide 4972 by, 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972 are the factors of 4972.
Note:
- 4972 is not the perfect square.
- Factors of 4972: 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972
- Prime factors of 4972: 2, 11, 113
Conclusion:
- 4972 is the composite number which has factors, 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972
- And hence, 4972 is not the prime number.
Multiple Choice Questions:
1) 4972 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4972 are
a) 4972
b) 2, 11, 113
c) 4, 22, 44, 226, 452, 1243, 2486 and 4972
d) 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972
Ans: b) 2, 11, 113
3) 4972 is even composite number because
a) It has factors 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486 and 4972
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all