Is 675 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 675 is composite or not first we have to find its factors.
Contents
Factors of 675:
- If we have taken numbers from 1, 2, 3…for checking factors of 675, we found that 675 has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675. Hence, we must say that 675 is a composite number.
- Thus, 675 is the composite number.
- If we multiply 675 by 1, 2, 3 then we get the multiples of 675 which are 675, 1350 and so on.
675 is a Composite number or Prime number
About the number 675:
- 675 has more than two factors which are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675 and hence it is the composite number.
- 675 is the odd composite number and it is not the perfect square also.
- If we divide 675 by 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675 are the factors of 675.
Note:
- 675 is not the perfect square.
- Factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675
- Prime factors of 675: 3, 5
Conclusion:
- 675 is the composite number which has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675.
- And hence, 675 is not the prime number.
Multiple Choice Questions:
1) 675 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 675 are
a) 1
b) 3, 5
c) 1, 9, 15, 25, 27, 45, 75, 135, 225 and 675
d) 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675
Ans: b) 3, 5
3) 675 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c