Is 4350 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 4350 is composite or not first we have to find its factors.
Contents
Factors of 4350:
- If we have taken numbers from 1, 2, 3…for checking factors of 4350 we found that 4350 has factors 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350. Hence, we must say that 4350 is a composite number.
- Thus, 4350 is the composite number.
- If we multiply 4350 by 1, 2, 3 then we get the multiples of 4350 which are 4350, 8700 and so on.
About the number 4350:
- 4350 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350 and hence it is the composite number.
- 4350 is the even composite number and it is not the perfect square also.
- If we divide 4350 by, 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350 are the factors of 4350.
Note:
- 4350 is not the perfect square.
- Factors of 4350: 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
- Prime factors of 4350: 2, 3, 5, 29
Conclusion:
- 4350 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
- And hence, 4350 is not the prime number.
Multiple Choice Questions:
1) 4350 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 4350 are
a) 4350
b) 2, 3, 5, 29
c) 6, 10, 15, 25, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
d) 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
Ans: c) 6, 10, 15, 25, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
3) 4350 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175 and 4350
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b