Is 3340 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 3340 is composite or not first we have to find its factors.
Contents
Factors of 3340:
- If we have taken numbers from 1, 2, 3…for checking factors of 3340, we found that 3340 has factors 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340. Hence, we must say that 3340 is a composite number.
- Thus, 3340 is the composite number.
- If we multiply 3340 by 1, 2, 3 then we get the multiples of 3340 which are 3340, 6680 and so on.
About the number 3340:
- 3340 has more than two factors which are 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340 and hence it is the composite number.
- 3340 is the even composite number and it is not the perfect square also.
- If we divide 3340 by, 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340 are the factors of 3340.
Note:
- 3340 is not the perfect square.
- Factors of 3340: 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340
- Prime factors of 3340: 2, 5, 167
Conclusion:
- 3340 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340
- And hence, 3340 is not the prime number.
Multiple Choice Questions:
1) 3340 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3340 are
a) 3340
b) 2, 5, 167
c) 4, 10, 20, 334, 668, 835, 1670 and 3340
d) 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340
Ans: b) 2, 5, 167
3) 3340 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670 and 3340