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