Is 378 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 378 is composite or not first we have to find its factors.
Contents
Factors of 378:
- If we have taken numbers from 1, 2, 3…for checking factors of 378, we found that 378 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378. Hence, we must say that 378 is a composite number.
- Thus, 378 is the composite umber.
- If we multiply 378 by 1, 2, 3 then we get the multiples of 378 which are 378, 756 and so on.
About the number 378:
- 378 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378 and hence it is the composite number.
- 378 is the even composite number and it is not the perfect square also.
- If we divide 378 by 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378 are the factors of 378.
Note:
- 378 is not the perfect square.
- Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378
- Prime factors of 378: 2, 3, 7
Conclusion:
- 378 is the composite number which has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189
- And hence, 378 is not the prime number.
Multiple Choice Questions:
1) 378 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 378 are
a) 2
b) 2, 3, 7
c) 1, 6, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378
Ans: b) 2, 3, 7
3) 378 is the
a) Even number
b) Odd number
c) Perfect square
d) Non perfect square prime number
Ans: a) even number