Is 2801 is a prime 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 2801 is prime or not first we have to find its factors.
Contents
Factors of 2801:
- If we have taken numbers from 1, 2, 3…for checking factors of 2801, we found that 2801 has factors 1 and the number 2801 itself. Hence, we must say that 2801 is a prime number.
- Thus, 2801 is the prime number.
- Here, 2801 is the odd prime number.
- If we multiply 2801 by 1, 2, 3, then we get the multiples of 2801 which are 2801, 5602, 8403…and so on.
About the number 2801:
- 2801 has only two factors which are 1 and the number itself and hence 2801 is the prime number.
- 2801 is the odd prime number and it is not the perfect square also.
- If we divide 2801 by 1 and the number itself then we get remainder as zero. Hence, 1 and 2801 are the factors of 2801.
Note:
- 2801 is not the perfect square.
- Factors of 2801: 1 and 2801
- Prime factors of 2801: 2801 (since, 2801 is the only one prime number which is the factor of 2801.)
Conclusion:
- 2801 is the prime number which has factors 1 and 2801.
- And hence, 2801 is the prime number.
Multiple Choice Questions:
1) 2801 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and b
Ans: d) both a and b
2) The prime factors of a prime number 2801 are
a) 1
b) 2801
c) Both a and b
d) 0
Ans: b) 2801
3) 1 is the not prime factor of 2801 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