Is 3270 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 3270 is composite or not first we have to find its factors.
Contents
Factors of 3270:
- If we have taken numbers from 1, 2, 3…for checking factors of 3270, we found that 3270 has factors 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270. Hence, we must say that 3270 is a composite number.
- Thus, 3270 is the composite number.
- If we multiply 3270 by 1, 2, 3 then we get the multiples of 3270 which are 3270, 6540 and so on.
About the number 3270:
- 3270 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270 and hence it is the composite number.
- 3270 is the even composite number and it is not the perfect square also.
- If we divide 3270 by, 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270 are the factors of 3270.
Note:
- 3270 is not the perfect square.
- Factors of 3270: 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270
- Prime factors of 3270: 2, 3, 5, 109
Conclusion:
- 3270 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270
- And hence, 3270 is not the prime number.
Multiple Choice Questions:
1) 3270 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 3270 are
a) 3270
b) 2, 3, 5, 109
c) 6, 10, 15, 30, 218, 327, 545, 654, 1090, 1635 and 3270
d) 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270
Ans: b) 2, 3, 5, 109
3) 3270 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635 and 3270