Is 315 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 315 is composite or not first we have to find its factors.
Contents
Factors of 315:
- If we have taken numbers from 1, 2, 3…for checking factors of 315, we found that 315 has factors 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315. Hence, we must say that 315 is a composite number.
- Thus, 315 is the composite number.
- If we multiply 315 by 1, 2, 3 then we get the multiples of 315 which are 315, 630 and so on.
315 is a Composite number or Prime number
About the number 315:
- 315 has more than two factors which are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315 and hence it is the composite number.
- 315 is the odd composite number and it is not the perfect square also.
- If we divide 315 by 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315 then we get remainder as zero. Hence, 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315 are the factors of 315.
Note:
- 315 is not the perfect square.
- Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315
- Prime factors of 315: 3, 5, 7
Conclusion:
- 315 is the composite number which has factors 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315.
- And hence, 315 is not the prime number.
Multiple Choice Questions:
1) 315 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 315 are
a) 1
b) 3, 5, 7
c) 1, 9, 15, 21, 35, 45, 63, 105 and 315
d) 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315
Ans: b) 3, 5, 7
3) 315 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c