Is 245 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 245 is composite or not first we have to find its factors.
Contents
Factors of 245:
- If we have taken numbers from 1, 2, 3…for checking factors of 245, we found that 245 has factors 1, 5, 7, 35, 49 and 245. Hence, we must say that 245 is a composite number.
- Thus, 245 is the composite number.
- If we multiply 245 by 1, 2, 3 then we get the multiples of 245 which are 245, 490, and so on.
245 is a Composite number or Prime number
About the number 245:
- 245 has more than two factors which are 1, 5, 7, 35, 49 and 245 and hence it is the composite number.
- 245 is the odd composite number and it is not the perfect square also.
- If we divide 245 by 1, 5, 7, 35, 49 and 245 then we get remainder as zero. Hence, 1, 5, 7, 35, 49 and 245 are the factors of 245.
Note:
- 245 is not the perfect square.
- Factors of 245: 1, 5, 7, 35, 49 and 245
- Prime factors of 245: 5, 7
Conclusion:
- 245 is the composite number which has factors 1, 5, 7, 35, 49 and 245.
- And hence, 245 is not the prime number.
Multiple Choice Questions:
1) 245 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 245 are
a) 1
b) 5, 7
c) 1, 35, 49 and 245
d) 1, 5, 7, 35, 49 and 245
Ans: b) 5, 7
3) 245 is the odd composite number because
a) It has factors 1, 5, 7, 35, 49 and 245
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c