Is 2550 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 2550 is composite or not first we have to find its factors.
Contents
Factors of 2550:
- If we have taken numbers from 1, 2, 3…for checking factors of 2550, we found that 2550 has factors 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550. Hence, we must say that 2550 is a composite number.
- Thus, 2550 is the composite number.
- If we multiply 2550 by 1, 2, 3 then we get the multiples of 2550 which are 2550, 5100 and so on.
About the number 2550:
- 2550 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550 and hence it is the composite number.
- 2550 is the even composite number and it is not the perfect square also.
- If we divide 2550 by, 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550 are the factors of 2550.
Note:
- 2550 is not the perfect square.
- Factors of 2550: 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550
- Prime factors of 2550: 2, 3, 5, 17
Conclusion:
- 2550 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550
- And hence, 2550 is not the prime number.
Multiple Choice Questions:
1) 2550 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 2550 are
a) 2550
b) 2, 3, 5, 17
c) 1, 6, 10, 15, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550
d) 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550
Ans: b) 2, 3, 5, 17
3) 2550 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275 and 2550
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b