Is 2600 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 2600 is composite or not first we have to find its factors.
Contents
Factors of 2600:
- If we have taken numbers from 1, 2, 3…for checking factors of 2600, we found that 2600 has factors 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600. Hence, we must say that 2600 is a composite number.
- Thus, 2600 is the composite number.
- If we multiply 2600 by 1, 2, 3 then we get the multiples of 2600 which are 2600, 5200 and so on.
About the number 2600:
- 2600 has more than two factors which are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600 and hence it is the composite number.
- 2600 is the even composite number and it is not the perfect square also.
- If we divide 2600 by, 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600 are the factors of 2600.
Note:
- 2600 is not the perfect square.
- Factors of 2600: 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
- Prime factors of 2600: 2, 5, 13
Conclusion:
- 2600 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
- And hence, 2600 is not the prime number.
Multiple Choice Questions:
1) 2600 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 2600 are
a) 2600
b) 2, 5, 13
c) 4, 8, 10, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 And 2600
d) 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
Ans: c) 4, 8, 10, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
3) 2600 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c