Is 3364 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 3364 is composite or not first we have to find its factors.
Contents
Factors of 3364:
- If we have taken numbers from 1, 2, 3…for checking factors of 3364, we found that 3364 has factors 1, 2, 4, 29, 58, 116, 841, 1682 and 3364. Hence, we must say that 3364 is a composite number.
- Thus, 3364 is the composite number.
- If we multiply 3364 by 1, 2, 3 then we get the multiples of 3364 which are 3364, 6728 and so on.
About the number 3364:
- 3364 has more than two factors which are 1, 2, 4, 29, 58, 116, 841, 1682 and 3364 and hence it is the composite number.
- 3364 is the even composite number and it is the perfect square also.
- If we divide 3364 by, 1, 2, 4, 29, 58, 116, 841, 1682 and 3364 then we get remainder as zero. Hence, 1, 2, 4, 29, 58, 116, 841, 1682 and 3364 are the factors of 3364.
Note:
- 3364 is the perfect square.
- Factors of 3364: 1, 2, 4, 29, 58, 116, 841, 1682 and 3364
- Prime factors of 3364: 2, 29
Conclusion:
- 3364 is the composite number which has factors, 1, 2, 4, 29, 58, 116, 841, 1682 and 3364
- And hence, 3364 is not the prime number.
Multiple Choice Questions:
1) 3364 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3364 are
a) 3364
b) 2, 29
c) 4, 58, 116, 841, 1682 and 3364
d) 1, 2, 4, 29, 58, 116, 841, 1682 and 3364
Ans: b) 2, 29
3) 3364 is composite number because
a) It has factors 1, 2, 4, 29, 58, 116, 841, 1682 and 3364
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 29, 58, 116, 841, 1682 and 3364