Is 401 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 401 is prime or not first we have to find its factors.
Contents
Factors of 401:
- If we have taken numbers from 1, 2, 3…for checking factors of 401, we found that 401 has factors 1 and the number 401 itself. Hence, we must say that 401 is a prime number.
- Thus, 401 is the prime number.
- Here, 401 is the odd prime number.
- If we multiply 401 by 1, 2, 3, then we get the multiples of 401 which are 401, 802, 1203…and so on.
About the number 401:
- 401 has only two factors which are 1 and the number itself and hence 401 is the prime number.
- 401is the odd prime number and it is not the perfect square also.
- If we divide 401 by 1 and the number itself then we get remainder as zero. Hence, 1 and 401 are the factors of 401.
Note:
- 401 is not the perfect square.
- Factors of 401: 1 and 401
- Prime factors of 401: 401 (since, 401 is the only one prime number which is the factor of 401.)
Conclusion:
- 401 is the prime number which has factors 1 and 401.
- And hence, 401 is the prime number.
Multiple Choice Questions:
1) 401 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 401 are
a) 1
b) 401
c) Both a and b
d) 0
Ans: b) 401
3) 1 is the not prime factor of 401 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