Is 4760 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 4760 is composite or not first we have to find its factors.
Factors of 4760:
- If we have taken numbers from 1, 2, 3…for checking factors of 4760 we found that 4760 has factors 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760. Hence, we must say that 4760 is a composite number.
- Thus, 4760 is the composite number.
- If we multiply 4760 by 1, 2, 3 then we get the multiples of 4760 which are 4760, 9520 and so on.
About the number 4760:
- 4760 has more than two factors which are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760 and hence it is the composite number.
- 4760 is the even composite number and it is not the perfect square also.
- If we divide 4760 by, 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760 are the factors of 4760.
Note:
- 4760 is not the perfect square.
- Factors of 4760: 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760
- Prime factors of 4760: 2, 5, 7, 17
Conclusion:
- 4760 is the composite number which has factors, 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760
- And hence, 4760 is not the prime number.
Multiple Choice Questions:
1) 4760 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 4760 are
a) 4760
b) 2, 5, 7, 17
c) 4, 8, 10, 14, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760
d) 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760
Ans: b) 2, 5, 7, 17
3) 4760 is even composite number because
a) It has factors 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380 and 4760
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all