Is 2450 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 2450 is composite or not first we have to find its factors.
Contents
Factors of 2450:
- If we have taken numbers from 1, 2, 3…for checking factors of 2450, we found that 2450 has factors 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450. Hence, we must say that 2450 is a composite number.
- Thus, 2450 is the composite number.
- If we multiply 2450 by 1, 2, 3 then we get the multiples of 2450 which are 2450, 4900 and so on.
About the number 2450:
- 2450 has more than two factors which are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450 and hence it is the composite number.
- 2450 is the even composite number and it is not the perfect square also.
- If we divide 2450 by, 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450 then we get remainder as zero. Hence, 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450 are the factors of 2450.
Note:
- 2450 is not the perfect square.
- Factors of 2450: 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450
- Prime factors of 2450: 2, 5, 7
Conclusion:
- 2450 is the composite number which has factors 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450
- And hence, 2450 is not the prime number.
Multiple Choice Questions:
1) 2450 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2450 are
a) 2450
b) 2, 5, 7
c) 1, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450
d) 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450
Ans: b) 2, 5, 7
3) 2450 is composite number because
a) It has factors 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b