Is 4600 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 4600 is composite or not first we have to find its factors.
Contents
Factors of 4600:
- If we have taken numbers from 1, 2, 3…for checking factors of 4600 we found that 4600 has factors 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600. Hence, we must say that 4600 is a composite number.
- Thus, 4600 is the composite number.
- If we multiply 4600 by 1, 2, 3 then we get the multiples of 4600 which are 4600, 9200 and so on.
About the number 4600:
- 4600 has more than two factors which are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600 and hence it is the composite number.
- 4600 is the even composite number and it is not the perfect square also.
- If we divide 4600 by, 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600 are the factors of 4600.
Note:
- 4600 is not the perfect square.
- Factors of 4600: 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
- Prime factors of 4600: 2, 5, 23
Conclusion:
- 4600 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
- And hence, 4600 is not the prime number.
Multiple Choice Questions:
1) 4600 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 4600 are
a) 4600
b) 2, 5, 23
c) 4, 8, 10, 20, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
d) 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
Ans: c) 4, 8, 10, 20, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
3) 4600 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300 and 4600
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b