Is 3724 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 3724 is composite or not first we have to find its factors.
Contents
Factors of 3724:
- If we have taken numbers from 1, 2, 3…for checking factors of 3724, we found that 3724 has factors 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724. Hence, we must say that 3724 is a composite number.
- Thus, 3724 is the composite number.
- If we multiply 3724 by 1, 2, 3 then we get the multiples of 3724 which are 3724, 7448 and so on.
About the number 3724:
- 3724 has more than two factors which are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724 and hence it is the composite number.
- 3724 is the even composite number and it is not the perfect square also.
- If we divide 3724 by, 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724 are the factors of 3724.
Note:
- 3724 is not the perfect square.
- Factors of 3724: 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724
- Prime factors of 3724: 2, 7, 19
Conclusion:
- 3724 is the composite number which has factors, 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724
- And hence, 3724 is not the prime number.
Multiple Choice Questions:
1) 3724 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3724 are
a) 3724
b) 2, 7, 19
c) 4, 14, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 3724
d) 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724
Ans: b) 2, 7, 19
3) 3724 is even composite number because
a) It has factors 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862 and 3724
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all