Is 3220 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 3220 is composite or not first we have to find its factors.
Factors of 3220:
- If we have taken numbers from 1, 2, 3…for checking factors of 3220, we found that 3220 has factors 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220. Hence, we must say that 3220 is a composite number.
- Thus, 3220 is the composite number.
- If we multiply 3220 by 1, 2, 3 then we get the multiples of 3220 which are 3220, 6440 and so on.
About the number 3220:
- 3220 has more than two factors which are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220 and hence it is the composite number.
- 3220 is the even composite number and it is not the perfect square also.
- If we divide 3220 by, 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220 are the factors of 3220.
Note:
- 3220 is not the perfect square.
- Factors of 3220: 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
- Prime factors of 3220: 2, 5, 7, 23
Conclusion:
- 3220 is the composite number which has factors, 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
- And hence, 3220 is not the prime number.
Multiple Choice Questions:
1) 3220 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 3220 are
a) 3220
b) 2, 5, 7, 23
c) 4, 10, 14, 20, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
d) 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
Ans: b) 2, 5, 7, 23
3) 3220 is composite number because
a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220