Is 2628 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 2628 is composite or not first we have to find its factors.
Contents
Factors of 2628:
- If we have taken numbers from 1, 2, 3…for checking factors of 2628, we found that 2628 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628. Hence, we must say that 2628 is a composite number.
- Thus, 2628 is the composite number.
- If we multiply 2628 by 1, 2, 3 then we get the multiples of 2628 which are 2628, 5256 and so on.
About the number 2628:
- 2628 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628 and hence it is the composite number.
- 2628 is the even composite number and it is not the perfect square also.
- If we divide 2628 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628 are the factors of 2628.
Note:
- 2628 is not the perfect square.
- Factors of 2628: 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628
- Prime factors of 2628: 2, 3, 73
Conclusion:
- 2628 is the composite number which has factors,1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628
- And hence, 2628 is not the prime number.
Multiple Choice Questions:
1) 2628 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 2628 are
a) 2628
b) 2, 3, 73
c) 4, 6, 9, 12, 18, 36, 146, 219, 292, 438, 657, 876, 1314 and 2628
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628
Ans: c) 4, 6, 9, 12, 18, 36, 146, 219, 292, 438, 657, 876, 1314 and 2628
3) 2628 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314 and 2628
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c