Is 225 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 225 is composite or not first we have to find its factors.
Contents
Factors of 225:
- If we have taken numbers from 1, 2, 3…for checking factors of 225, we found that 225 has factors 1, 3, 5, 9, 15, 25, 45, 75 and 225. Hence, we must say that 225 is a composite number.
- Thus, 225 is the composite number.
- If we multiply 225 by 1, 2, 3 then we get the multiples of 225 which are 225, 450, and so on.
About the number 225:
- 225 has more than two factors which are 1, 3, 5, 9, 15, 25, 45, 75 and 225 and hence it is the composite number.
- 225 is the odd composite number and it is the perfect square also.
- If we divide 225 by 1, 3, 5, 9, 15, 25, 45, 75 and 225 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 25, 45, 75 and 225 are the factors of 225.
Note:
- 225 is the perfect square.
- Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75 and 225
- Prime factors of 225: 3, 5
Conclusion:
- 225 is the composite number which has factors 1, 3, 5, 9, 15, 25, 45, 75 and 225.
- And hence, 225 is not the prime number.
Multiple Choice Questions:
1) 225 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 225 are
a) 1
b) 3, 5
c) Both a and b
d) 2251
Ans: b) 3, 5
3) 1 is the not prime factor of 225 because
a) It is the prime number
b) 1 is neither prime nor composite number
c) Both a and b
d) Given statement is false
Ans: b) 1 is neither prime nor composite number