Is 1794 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 1794 is composite or not first we have to find its factors.
Contents
Factors of 1794:
- If we have taken numbers from 1, 2, 3…for checking factors of 1794, we found that 1794 has factors 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794. Hence, we must say that 1794 is a composite number.
- Thus, 1794 is the composite number.
- If we multiply 1794 by 1, 2, 3 then we get the multiples of 1794 which are 1794, 3588 and so on.
About the number 1794:
- 1794 has more than two factors which are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794 and hence it is the composite number.
- 1794 is the even composite number and it is not the perfect square also.
- If we divide 1794 by, 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794 then we get remainder as zero. Hence, 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794 are the factors of 1794.
Note:
- 1794 is not the perfect square.
- Factors of 1794: 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
- Prime factors of 1794: 2, 3, 13, 23
Conclusion:
- 1794 is the composite number which has factors 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
- And hence, 1794 is not the prime number.
Multiple Choice Questions:
1) 1794 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 1794 are
a) 1794
b) 2, 3, 13, 23
c) 1, 6, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
d) 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
Ans: c) 1, 6, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
3) 1794 is composite number because
a) It has factors 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897 and 1794