Is 945 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 945 is composite or not first we have to find its factors.
Contents
Factors of 945:
- If we have taken numbers from 1, 2, 3…for checking factors of 945, we found that 945 has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945. Hence, we must say that 945 is a composite number.
- Thus, 945 is the composite number.
- If we multiply 945 by 1, 2, 3 then we get the multiples of 945 which are 945, 1890 and so on.
945 is a Composite number or Prime number
About the number 945:
- 945 has more than two factors which are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945 and hence it is the composite number.
- 945 is the odd composite number and it is not the perfect square also.
- If we divide 945 by 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945 then we get remainder as zero. Hence, 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945 are the factors of 945
Note:
- 945 is not the perfect square.
- Factors of 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945
- Prime factors of 945: 3, 5, 7
Conclusion:
- 945 is the composite number which has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945.
- And hence, 945 is not the prime number.
Multiple Choice Questions:
1) 945 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 945 are
a) 1
b) 3, 5, 7
c) 1, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945
d) 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945
Ans: b) 3, 5, 7
3) 945 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c