Is 2301 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 2301 is composite or not first we have to find its factors.
Contents
Factors of 2301:
- If we have taken numbers from 1, 2, 3…for checking factors of 2301, we found that 2301 has factors 1, 3, 13, 39, 59, 177, 767 and 2301. Hence, we must say that 2301 is a composite number.
- Thus, 2301 is the composite number.
- If we multiply 2301 by 1, 2, 3 then we get the multiples of 2301 which are 2301, 4602 and so on.
2301 is a Composite number or Prime number
About the number 2301:
- 2301 has more than two factors which are 1, 3, 13, 39, 59, 177, 767 and 2301 and hence it is the composite number.
- 2301 is the odd composite number and it is not the perfect square also.
- If we divide 2301 by 1, 3, 13, 39, 59, 177, 767 and 2301 then we get remainder as zero. Hence, 1, 3, 13, 39, 59, 177, 767 and 2301 are the factors of 2301
Note:
- 2301 is not the perfect square.
- Factors of 2301: 1, 3, 13, 39, 59, 177, 767 and 2301
- Prime factors of 2301: 3, 13, 59
Conclusion:
- 2301 is the composite number which has factors 1, 3, 13, 39, 59, 177, 767 and 2301.
- And hence, 2301 is not the prime number.
Multiple Choice Questions:
1) 2301 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 2301 are
a) 1
b) 3, 13, 19
c) 1 and 2301
d) 1, 3, 13, 39, 59, 177, 767 and 2301
Ans: b) 3, 13, 19
3) 2301 is the composite number because
a) It has factors 1, 3, 13, 39, 59, 177, 767 and 2301
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