Is 4640 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 4640 is composite or not first we have to find its factors.
Contents
Factors of 4640:
- If we have taken numbers from 1, 2, 3…for checking factors of 4640 we found that 4640 has factors 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640. Hence, we must say that 4640 is a composite number.
- Thus, 4640 is the composite number.
- If we multiply 4640 by 1, 2, 3 then we get the multiples of 4640 which are 4640, 9280 and so on.
About the number 4640:
- 4640 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640 and hence it is the composite number.
- 4640 is the even composite number and it is not the perfect square also.
- If we divide 4640 by, 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640 are the factors of 4640.
Note:
- 4640 is not the perfect square.
- Factors of 4640: 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640
- Prime factors of 4640: 2, 5, 29
Conclusion:
- 4640 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640
- And hence, 4640 is not the prime number.
Multiple Choice Questions:
1) 4640 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4640 are
a) 4640
b) 2, 5, 29
c) 4, 8, 10, 16, 20, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640
d) 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640
Ans: b) 2, 5, 29
3) 4640 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320 and 4640
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all