Is 825 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 825 is composite or not first we have to find its factors.
Contents
Factors of 825:
- If we have taken numbers from 1, 2, 3…for checking factors of 825, we found that 825 has factors 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825. Hence, we must say that 825 is a composite number.
- Thus, 825 is the composite number.
- If we multiply 825 by 1, 2, 3 then we get the multiples of 825 which are 825, 1650 and so on.
825 is a Composite number or Prime number
About the number 825:
- 825 has more than two factors which are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825 and hence it is the composite number.
- 825 is the odd composite number and it is not the perfect square also.
- If we divide 825 by 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825 then we get remainder as zero. Hence, 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825 are the factors of 825
Note:
- 825 is not the perfect square.
- Factors of 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825
- Prime factors of 825: 3, 5, 11
Conclusion:
- 825 is the composite number which has factors 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825.
- And hence, 825 is not the prime number.
Multiple Choice Questions:
1) 825 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 825 are
a) 1
b) 3, 5, 11
c) 1, 15, 25, 33, 55, 75, 165, 275 and 825
d) 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825
Ans: b) 3, 5, 11
3) 825 is the odd composite number because
a) It has factors 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275 and 825
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c