Is 4648 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 4648 is composite or not first we have to find its factors.
Contents
Factors of 4648:
- If we have taken numbers from 1, 2, 3…for checking factors of 4648 we found that 4648 has factors 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648. Hence, we must say that 4648 is a composite number.
- Thus, 4648 is the composite number.
- If we multiply 4648 by 1, 2, 3 then we get the multiples of 4648 which are 4648, 9296 and so on.
About the number 4648:
- 4648 has more than two factors which are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648 and hence it is the composite number.
- 4648 is the even composite number and it is not the perfect square also.
- If we divide 4648 by, 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648 are the factors of 4648.
Note:
- 4648 is not the perfect square.
- Factors of 4648: 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648
- Prime factors of 4648: 2, 7, 83
Conclusion:
- 4648 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648
- And hence, 4648 is not the prime number.
Multiple Choice Questions:
1) 4648 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 4648 are
a) 4648
b) 2, 7, 83
c) 4, 8, 14, 28, 56, 166, 332, 581, 664, 1162, 2324 and 4648
d) 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648
Ans: b) 2, 7, 83
3) 4648 is even composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324 and 4648
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all