Is 3740 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 3740 is composite or not first we have to find its factors.
Contents
Factors of 3740:
- If we have taken numbers from 1, 2, 3…for checking factors of 3740, we found that 3740 has factors 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740. Hence, we must say that 3740 is a composite number.
- Thus, 3740 is the composite number.
- If we multiply 3740 by 1, 2, 3 then we get the multiples of 3740 which are 3740, 7480 and so on.
About the number 3740:
- 3740 has more than two factors which are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740 and hence it is the composite number.
- 3740 is the even composite number and it is not the perfect square also.
- If we divide 3740 by, 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740 are the factors of 3740.
Note:
- 3740 is not the perfect square.
- Factors of 3740: 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740
- Prime factors of 3740: 2, 5, 11, 17
Conclusion:
- 3740 is the composite number which has factors, 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740
- And hence, 3740 is not the prime number.
Multiple Choice Questions:
1) 3740 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 3740 are
a) 3740
b) 2, 5, 11, 17
c) 4, 10, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740
d) 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740
Ans: b) 2, 5, 11, 17
3) 3740 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870 and 3740
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all