Is 2624 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 2624 is composite or not first we have to find its factors.
Contents
Factors of 2624:
- If we have taken numbers from 1, 2, 3…for checking factors of 2624, we found that 2624 has factors 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624. Hence, we must say that 2624 is a composite number.
- Thus, 2624 is the composite number.
- If we multiply 2624 by 1, 2, 3 then we get the multiples of 2624 which are 2624, 5248 and so on.
About the number 2624:
- 2624 has more than two factors which are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624 and hence it is the composite number.
- 2624 is the even composite number and it is not the perfect square also.
- If we divide 2624 by, 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624 are the factors of 2624.
Note:
- 2624 is not the perfect square.
- Factors of 2624: 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624
- Prime factors of 2624: 2, 41
Conclusion:
- 2624 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624
- And hence, 2624 is not the prime number.
Multiple Choice Questions:
1) 2624 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2624 are
a) 2624
b) 2, 41
c) 4, 8, 16, 32, 64, 82, 164, 328, 656, 1312 and 2624
d) 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624
Ans: c) 4, 8, 16, 32, 64, 82, 164, 328, 656, 1312 and 2624
3) 2624 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312 and 2624
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c