Is 3726 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 3726 is composite or not first we have to find its factors.
Contents
Factors of 3726:
- If we have taken numbers from 1, 2, 3…for checking factors of 3726, we found that 3726 has factors 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726. Hence, we must say that 3726 is a composite number.
- Thus, 3726 is the composite number.
- If we multiply 3726 by 1, 2, 3 then we get the multiples of 3726 which are 3726, 7452 and so on.
About the number 3726:
- 3726 has more than two factors which are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726 and hence it is the composite number.
- 3726 is the even composite number and it is not the perfect square also.
- If we divide 3726 by, 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726 are the factors of 3726.
Note:
- 3726 is not the perfect square.
- Factors of 3726: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726
- Prime factors of 3726: 2, 3, 23
Conclusion:
- 3726 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726
- And hence, 3726 is not the prime number.
Multiple Choice Questions:
1) 3726 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 3726 are
a) 3726
b) 2, 3, 23
c) 6, 9, 18, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726
d) 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726
Ans: b) 2, 3, 23
3) 3726 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863 and 3726
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all