Is 1395 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 1395 is composite or not first we have to find its factors.
Contents
Factors of 1395:
- If we have taken numbers from 1, 2, 3…for checking factors of 1395, we found that 1395 has factors 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395. Hence, we must say that 1395 is a composite number.
- Thus, 1395 is the composite number.
- If we multiply 1395 by 1, 2, 3 then we get the multiples of 1395 which are 1395, 2780 and so on.
1395 is a Composite number or Prime number
About the number 1395:
- 1395 has more than two factors which are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395 and hence it is the composite number.
- 1395 is the odd composite number and it is not the perfect square also.
- If we divide 1395 by 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395 are the factors of 1395
Note:
- 1395 is not the perfect square.
- Factors of 1395: 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395
- Prime factors of 1395: 3, 5, 31
Conclusion:
- 1395 is the composite number which has factors 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395.
- And hence, 1395 is not the prime number.
Multiple Choice Questions:
1) 1395 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1395 are
a) 1
b) 3, 5, 31
c) 1, 9, 15, 45, 93, 155, 279, 465 and 1395
d) 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395
Ans: b) 1, 9, 15, 45, 93, 155, 279, 465 and 1395
3) 1395 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465 and 1395
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all