Is 364 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 364 is composite or not first we have to find its factors.
Contents
Factors of 364:
- If we have taken numbers from 1, 2, 3…for checking factors of 364, we found that 364 has factors 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364. Hence, we must say that 364 is a composite number.
- Thus, 364 is the composite umber.
- If we multiply 364 by 1, 2, 3 then we get the multiples of 364 which are 364, 728 and so on.
About the number 364:
- 364 has more than two factors which are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364 and hence it is the composite number.
- 364 is the even composite number and it is not the perfect square also.
- If we divide 364 by 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364 then we get remainder as zero. Hence, 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364 are the factors of 364.
Note:
- 364 is not the perfect square.
- Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364
- Prime factors of 364: 2, 7, 13
Conclusion:
- 364 is the composite number which has factors 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182
- And hence, 364 is not the prime number.
Multiple Choice Questions:
1) 364 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 364 are
a) 2
b) 2, 7, 13
c) 1, 4, 14, 26, 28, 52, 91, 182 and 364
d) 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182 and 364
Ans: b) 2, 7, 13
3) 364 is the
a) Perfect square composite number
b) Non perfect square composite number
c) Perfect square prime number
d) Non perfect square prime number
Ans: b) non perfect square composite number