Is 975 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 975 is composite or not first we have to find its factors.
Contents
Factors of 975:
- If we have taken numbers from 1, 2, 3…for checking factors of 975, we found that 975 has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975. Hence, we must say that 975 is a composite number.
- Thus, 975 is the composite number.
- If we multiply 975 by 1, 2, 3 then we get the multiples of 975 which are 975, 1950 and so on.
975 is a Composite number or Prime number
About the number 975:
- 975 has more than two factors which are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975 and hence it is the composite number.
- 975 is the odd composite number and it is not the perfect square also.
- If we divide 975 by 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975 then we get remainder as zero. Hence, 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975 are the factors of 975
Note:
- 975 is not the perfect square.
- Factors of 975: 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975
- Prime factors of 975: 3, 5, 13
Conclusion:
- 975 is the composite number which has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975.
- And hence, 975 is not the prime number.
Multiple Choice Questions:
1) 975 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 975 are
a) 1
b) 3, 5, 13
c) 1, 15, 25, 39, 65, 75, 195, 325 and 975
d) 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975
Ans: b) 3, 5, 13
3) 975 is the odd composite number because
a) It has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325 and 975
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c