Is 4974 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 4974 is composite or not first we have to find its factors.
Contents
Factors of 4974:
- If we have taken numbers from 1, 2, 3…for checking factors of 4974 we found that 4974 has factors 1, 2, 3, 6, 829, 1658, 2487 and 4974. Hence, we must say that 4974 is a composite number.
- Thus, 4974 is the composite number.
- If we multiply 4974 by 1, 2, 3 then we get the multiples of 4974 which are 4974, 9948 and so on.
About the number 4974:
- 4974 has more than two factors which are 1, 2, 3, 6, 829, 1658, 2487 and 4974 and hence it is the composite number.
- 4974 is the even composite number and it is not the perfect square also.
- If we divide 4974 by, 1, 2, 3, 6, 829, 1658, 2487 and 4974 then we get remainder as zero. Hence, 1, 2, 3, 6, 829, 1658, 2487 and 4974 are the factors of 4974.
Note:
- 4974 is not the perfect square.
- Factors of 4974: 1, 2, 3, 6, 829, 1658, 2487 and 4974
- Prime factors of 4974: 2, 3, 829
Conclusion:
- 4974 is the composite number which has factors, 1, 2, 3, 6, 829, 1658, 2487 and 4974
- And hence, 4974 is not the prime number.
Multiple Choice Questions:
1) 4974 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 4974 are
a) 4974
b) 2, 3, 829
c) 6, 1658, 2487 and 4974
d) 1, 2, 3, 6, 829, 1658, 2487 and 4974
Ans: b) 2, 3, 829
3) 4974 is even composite number because
a) It has factors 1, 2, 3, 6, 829, 1658, 2487 and 4974
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all