Is 3762 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 3762 is composite or not first we have to find its factors.
Contents
Factors of 3762:
- If we have taken numbers from 1, 2, 3…for checking factors of 3762, we found that 3762 has factors 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762. Hence, we must say that 3762 is a composite number.
- Thus, 3762 is the composite number.
- If we multiply 3762 by 1, 2, 3 then we get the multiples of 3762 which are 3762, 7524 and so on.
About the number 3762:
- 3762 has more than two factors which are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762 and hence it is the composite number.
- 3762 is the even composite number and it is not the perfect square also.
- If we divide 3762 by, 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762 are the factors of 3762.
Note:
- 3762 is not the perfect square.
- Factors of 3762: 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
- Prime factors of 3762: 2, 3, 11, 19
Conclusion:
- 3762 is the composite number which has factors, 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
- And hence, 3762 is not the prime number.
Multiple Choice Questions:
1) 3762 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 3762 are
a) 3762
b) 2, 3, 11, 19
c) 6, 9, 18, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
d) 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
Ans: b) 2, 3, 11, 19
3) 3762 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all