Is 2975 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 2975 is composite or not first we have to find its factors.
Contents
Factors of 2975:
- If we have taken numbers from 1, 2, 3…for checking factors of 2975, we found that 2975 has factors 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975. Hence, we must say that 2975 is a composite number.
- Thus, 2975 is the composite number.
- If we multiply 2975 by 1, 2, 3 then we get the multiples of 2975 which are 2975, 5950 and so on.
2975 is a Composite number or Prime number
About the number 2975:
- 2975 has more than two factors which are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975 and hence it is the composite number.
- 2975 is the odd composite number and it is not the perfect square also.
- If we divide 2975 by 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975 then we get remainder as zero. Hence 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975 are the factors of 2975
Note:
- 2975 is not the perfect square.
- Factors of 2975: 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975
- Prime factors of 2975: 5, 7, 17
Conclusion:
- 2975 is the composite number which has factors 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975.
- And hence, 2975 is not the prime number.
Multiple Choice Questions:
1) 2975 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 2975 are
a) 1
b) 5, 7, 17
c) 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975
d) 1, 25, 35, 85, 119, 175, 425, 595 and 2975
Ans: d) 1, 25, 35, 85, 119, 175, 425, 595 and 2975
3) 2975 is the odd composite number because
a) It has factors 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595 and 2975
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all