Is 3768 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 3768 is composite or not first we have to find its factors.
Contents
Factors of 3768:
- If we have taken numbers from 1, 2, 3…for checking factors of 3768, we found that 3768 has factors 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768. Hence, we must say that 3768 is a composite number.
- Thus, 3768 is the composite number.
- If we multiply 3768 by 1, 2, 3 then we get the multiples of 3768 which are 3768, 7536 and so on.
About the number 3768:
- 3768 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768 and hence it is the composite number.
- 3768 is the even composite number and it is not the perfect square also.
- If we divide 3768 by, 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768 are the factors of 3768.
Note:
- 3768 is not the perfect square.
- Factors of 3768: 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768
- Prime factors of 3768: 2, 3, 157
Conclusion:
- 3768 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768
- And hence, 3768 is not the prime number.
Multiple Choice Questions:
1) 3768 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 3768 are
a) 3768
b) 2, 3, 157
c) 4, 6, 8, 12, 24, 314, 471, 628, 942, 1256, 1884 and 3768
d) 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768
Ans: b) 2, 3, 157
3) 3768 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884 and 3768
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all