Is 3772 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 3772 is composite or not first we have to find its factors.
Contents
Factors of 3772:
- If we have taken numbers from 1, 2, 3…for checking factors of 3772, we found that 3772 has factors 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772. Hence, we must say that 3772 is a composite number.
- Thus, 3772 is the composite number.
- If we multiply 3772 by 1, 2, 3 then we get the multiples of 3772 which are 3772, 7544 and so on.
About the number 3772:
- 3772 has more than two factors which are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772 and hence it is the composite number.
- 3772 is the even composite number and it is not the perfect square also.
- If we divide 3772 by, 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772 then we get remainder as zero. Hence, 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772 are the factors of 3772.
Note:
- 3772 is not the perfect square.
- Factors of 3772: 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772
- Prime factors of 3772: 2, 23, 41
Conclusion:
- 3772 is the composite number which has factors, 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772
- And hence, 3772 is not the prime number.
Multiple Choice Questions:
1) 3772 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 3772 are
a) 3772
b) 2, 23, 41
c) 4, 23, 46, 82, 92, 164, 943, 1886 and 3772
d) 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772
Ans: b) 2, 23, 41
3) 3772 is even composite number because
a) It has factors 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886 and 3772
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all