Is 4340 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 4340 is composite or not first we have to find its factors.
Contents
Factors of 4340:
- If we have taken numbers from 1, 2, 3…for checking factors of 4340 we found that 4340 has factors 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340. Hence, we must say that 4340 is a composite number.
- Thus, 4340 is the composite number.
- If we multiply 4340 by 1, 2, 3 then we get the multiples of 4340 which are 4340, 8680 and so on.
About the number 4340:
- 4340 has more than two factors which are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340 and hence it is the composite number.
- 4340 is the even composite number and it is not the perfect square also.
- If we divide 4340 by, 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340 are the factors of 4340.
Note:
- 4340 is not the perfect square.
- Factors of 4340: 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
- Prime factors of 4340: 2, 5, 7, 31
Conclusion:
- 4340 is the composite number which has factors, 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
- And hence, 4340 is not the prime number.
Multiple Choice Questions:
1) 4340 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4340 are
a) 4340
b) 2, 5, 7, 31
c) 4, 10, 14, 20, 28, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
d) 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
Ans: c) 4, 10, 14, 20, 28, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
3) 4340 is composite number because
a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170 and 4340
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b