Is 3390 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 3390 is composite or not first we have to find its factors.
Contents
Factors of 3390:
- If we have taken numbers from 1, 2, 3…for checking factors of 3390, we found that 3390 has factors 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390. Hence, we must say that 3390 is a composite number.
- Thus, 3390 is the composite number.
- If we multiply 3390 by 1, 2, 3 then we get the multiples of 3390 which are 3390, 6780 and so on.
About the number 3390:
- 3390 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390 and hence it is the composite number.
- 3390 is the even composite number and it is not the perfect square also.
- If we divide 3390 by, 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390 are the factors of 3390.
Note:
- 3390 is not the perfect square.
- Factors of 3390: 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390
- Prime factors of 3390: 2, 3, 5, 113
Conclusion:
- 3390 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390
- And hence, 3390 is not the prime number.
Multiple Choice Questions:
1) 3390 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 3390 are
a) 3390
b) 2, 3, 5, 113
c) 6, 10, 15, 30, 226, 339, 565, 678, 1130, 1695 and 3390
d) 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390
Ans: b) 2, 3, 5, 113
3) 3390 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695 and 3390
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all