Is 2946 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 2946 is composite or not first we have to find its factors.
Contents
Factors of 2946:
- If we have taken numbers from 1, 2, 3…for checking factors of 2946, we found that 2946 has factors 1, 2, 3, 6, 491, 982, 1473 and 2946. Hence, we must say that 2946 is a composite number.
- Thus, 2946 is the composite number.
- If we multiply 2946 by 1, 2, 3 then we get the multiples of 2946 which are 2946, 5892 and so on.
About the number 2946:
- 2946 has more than two factors which are 1, 2, 3, 6, 491, 982, 1473 and 2946 and hence it is the composite number.
- 2946 is the even composite number and it is not the perfect square also.
- If we divide 2946 by, 1, 2, 3, 6, 491, 982, 1473 and 2946 then we get remainder as zero. Hence, 1, 2, 3, 6, 491, 982, 1473 and 2946 are the factors of 2946.
Note:
- 2946 is not the perfect square.
- Factors of 2946: 1, 2, 3, 6, 491, 982, 1473 and 2946
- Prime factors of 2946: 2, 3, 491
Conclusion:
- 2946 is the composite number which has factors, 1, 2, 3, 6, 491, 982, 1473 and 2946
- And hence, 2946 is not the prime number.
Multiple Choice Questions:
1) 2946 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2946 are
a) 2946
b) 2, 3, 491
c) 6, 982, 1473 and 2946
d) 1, 2, 3, 6, 491, 982, 1473 and 2946
Ans: c) 6, 982, 1473 and 2946
3) 2946 is even composite number because
a) It has factors 1, 2, 3, 6, 491, 982, 1473 and 2946
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c