Is 3738 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 3738 is composite or not first we have to find its factors.
Contents
Factors of 3738:
- If we have taken numbers from 1, 2, 3…for checking factors of 3738, we found that 3738 has factors 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738. Hence, we must say that 3738 is a composite number.
- Thus, 3738 is the composite number.
- If we multiply 3738 by 1, 2, 3 then we get the multiples of 3738 which are 3738, 7476 and so on.
About the number 3738:
- 3738 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738 and hence it is the composite number.
- 3738 is the even composite number and it is not the perfect square also.
- If we divide 3738 by, 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738 are the factors of 3738.
Note:
- 3738 is not the perfect square.
- Factors of 3738: 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738
- Prime factors of 3738: 2, 3, 7, 89
Conclusion:
- 3738 is the composite number which has factors, 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738
- And hence, 3738 is not the prime number.
Multiple Choice Questions:
1) 3738 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 3738 are
a) 3738
b) 2, 3, 7, 89
c) 6, 14, 21, 42, 178, 267, 534, 623, 1246, 1869 and 3738
d) 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738
Ans: b) 2, 3, 7, 89
3) 3738 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869 and 3738
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all