Is 2401 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 2401 is composite or not first we have to find its factors.
Contents
Factors of 2401:
- If we have taken numbers from 1, 2, 3…for checking factors of 2401, we found that 2401 has factors 1, 7, 49, 343 and 2401. Hence, we must say that 2401 is a composite number.
- Thus, 2401 is the composite number.
- If we multiply 2401 by 1, 2, 3 then we get the multiples of 2401 which are 2401, 4802 and so on.
2401 is a Composite number or Prime number
About the number 2401:
- 2401 has more than two factors which are 1, 7, 49, 343 and 2401 and hence it is the composite number.
- 2401 is the odd composite number and it is the perfect square also.
- If we divide 2401 by 1, 7, 49, 343 and 2401 then we get remainder as zero. Hence, 1, 7, 49, 343 and 2401 are the factors of 2401
Note:
- 2401 is the perfect square.
- Factors of 2401: 1, 7, 49, 343 and 2401
- Prime factors of 2401: 7
Conclusion:
- 2401 is the composite number which has factors 1, 7, 49, 343 and 2401.
- And hence, 2401 is not the prime number.
Multiple Choice Questions:
1) 2401 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 2401 are
a) 1
b) 7
c) 1 and 2401
d) 1, 7, 49, 343 and 2401
Ans: b) 7
3) 2401 is the composite number because
a) It has factors 1, 7, 49, 343 and 2401
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b