Is 2496 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 2496 is composite or not first we have to find its factors.
Contents
Factors of 2496:
- If we have taken numbers from 1, 2, 3…for checking factors of 2496, we found that 2496 has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496. Hence, we must say that 2496 is a composite number.
- Thus, 2496 is the composite number.
- If we multiply 2496 by 1, 2, 3 then we get the multiples of 2496 which are 2496, 4992 and so on.
About the number 2496:
- 2496 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496 and hence it is the composite number.
- 2496 is the even composite number and it is not the perfect square also.
- If we divide 2496 by, 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496 are the factors of 2496.
Note:
- 2496 is not the perfect square.
- Factors of 2496: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496
- Prime factors of 2496: 2, 3, 13
Conclusion:
- 2496 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496
- And hence, 2496 is not the prime number.
Multiple Choice Questions:
1) 2496 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 2496 are
a) 2496
b) 2, 3, 13
c) 1, 4, 6, 8, 12, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496
d) 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496
Ans: b) 2, 3, 13
3) 2496 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248 and 2496
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b