Is 3380 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 3380 is composite or not first we have to find its factors.
Contents
Factors of 3380:
- If we have taken numbers from 1, 2, 3…for checking factors of 3380, we found that 3380 has factors 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380. Hence, we must say that 3380 is a composite number.
- Thus, 3380 is the composite number.
- If we multiply 3380 by 1, 2, 3 then we get the multiples of 3380 which are 3380, 6760 and so on.
About the number 3380:
- 3380 has more than two factors which are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380 and hence it is the composite number.
- 3380 is the even composite number and it is not the perfect square also.
- If we divide 3380 by, 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380 are the factors of 3380.
Note:
- 3380 is not the perfect square.
- Factors of 3380: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380
- Prime factors of 3380: 2, 5, 13
Conclusion:
- 3380 is the composite number which has factors, 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380
- And hence, 3380 is not the prime number.
Multiple Choice Questions:
1) 3380 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 3380 are
a) 3380
b) 2, 5, 13
c) 4, 10, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380
d) 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380
Ans: b) 2, 5, 13
3) 3380 is composite number because
a) It has factors 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380
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, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690 and 3380