Is 1846 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 1846 is composite or not first we have to find its factors.
Contents
Factors of 1846:
- If we have taken numbers from 1, 2, 3…for checking factors of 1846, we found that 1846 has factors 1, 2, 13, 26, 71, 142, 923 and 1846. Hence, we must say that 1846 is a composite number.
- Thus, 1846 is the composite number.
- If we multiply 1846 by 1, 2, 3 then we get the multiples of 1846 which are 1846, 3692 and so on.
About the number 1846:
- 1846 has more than two factors which are 1, 2, 13, 26, 71, 142, 923 and 1846 and hence it is the composite number.
- 1846 is the even composite number and it is not the perfect square also.
- If we divide 1846 by, 1, 2, 13, 26, 71, 142, 923 and 1846 then we get remainder as zero. Hence, 1, 2, 13, 26, 71, 142, 923 and 1846 are the factors of 1846.
Note:
- 1846 is not the perfect square.
- Factors of 1846: 1, 2, 13, 26, 71, 142, 923 and 1846
- Prime factors of 1846: 2, 13, 71
Conclusion:
- 1846 is the composite number which has factors 1, 2, 13, 26, 71, 142, 923 and 1846
- And hence, 1846 is not the prime number.
Multiple Choice Questions:
1) 1846 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1846 are
a) 1846
b) 2, 13, 71
c) 1, 26, 142, 923 and 1846
d) 1, 2, 13, 26, 71, 142, 923 and 1846
Ans: c) 1, 26, 142, 923 and 1846
3) 1846 is composite number because
a) It has factors 1, 2, 13, 26, 71, 142, 923 and 1846
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 13, 26, 71, 142, 923 and 1846