Is 2464 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 2464 is composite or not first we have to find its factors.
Contents
Factors of 2464:
- If we have taken numbers from 1, 2, 3…for checking factors of 2464, we found that 2464 has factors 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464. Hence, we must say that 2464 is a composite number.
- Thus, 2464 is the composite number.
- If we multiply 2464 by 1, 2, 3 then we get the multiples of 2464 which are 2464, 4928 and so on.
About the number 2464:
- 2464 has more than two factors which are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464 and hence it is the composite number.
- 2464 is the even composite number and it is not the perfect square also.
- If we divide 2464 by, 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464 are the factors of 2464.
Note:
- 2464 is not the perfect square.
- Factors of 2464: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464
- Prime factors of 2464: 2, 7, 11
Conclusion:
- 2464 is the composite number which has factors 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464
- And hence, 2464 is not the prime number.
Multiple Choice Questions:
1) 2464 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2464 are
a) 2464
b) 2, 7, 11
c) 1, 4, 8, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464
d) 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464
Ans: b) 2, 7, 11
3) 2464 is composite number because
a) It has factors 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44. 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232 and 2464
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b