Is 3678 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 3678 is composite or not first we have to find its factors.
Contents
Factors of 3678:
- If we have taken numbers from 1, 2, 3…for checking factors of 3678, we found that 3678 has factors 1, 2, 3, 6, 613, 1226, 1839 and 3678. Hence, we must say that 3678 is a composite number.
- Thus, 3678 is the composite number.
- If we multiply 3678 by 1, 2, 3 then we get the multiples of 3678 which are 3678, 7356 and so on.
About the number 3678:
- 3678 has more than two factors which are 1, 2, 3, 6, 613, 1226, 1839 and 3678 and hence it is the composite number.
- 3678 is the even composite number and it is not the perfect square also.
- If we divide 3678 by, 1, 2, 3, 6, 613, 1226, 1839 and 3678 then we get remainder as zero. Hence, 1, 2, 3, 6, 613, 1226, 1839 and 3678 are the factors of 3678.
Note:
- 3678 is not the perfect square.
- Factors of 3678: 1, 2, 3, 6, 613, 1226, 1839 and 3678
- Prime factors of 3678: 2, 3, 613
Conclusion:
- 3678 is the composite number which has factors, 1, 2, 3, 6, 613, 1226, 1839 and 3678
- And hence, 3678 is not the prime number.
Multiple Choice Questions:
1) 3678 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 3678 are
a) 3678
b) 2, 3, 613
c) 6, 1226, 1839 and 3678
d) 1, 2, 3, 6, 613, 1226, 1839 and 3678
Ans: b) 2, 3, 613
3) 3678 is even composite number because
a) It has factors 1, 2, 3, 6, 613, 1226, 1839 and 3678
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all