Is 735 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 735 is composite or not first we have to find its factors.
Contents
Factors of 735:
- If we have taken numbers from 1, 2, 3…for checking factors of 735, we found that 735 has factors 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735. Hence, we must say that 735 is a composite number.
- Thus, 735 is the composite number.
- If we multiply 735 by 1, 2, 3 then we get the multiples of 735 which are 735, 1470 and so on.
735 is a Composite number or Prime number
About the number 735:
- 735 has more than two factors which are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735 and hence it is the composite number.
- 735 is the odd composite number and it is not the perfect square also.
- If we divide 735 by 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735 then we get remainder as zero. Hence, 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735 are the factors of 735
Note:
- 735 is not the perfect square.
- Factors of 735: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735
- Prime factors of 735: 3, 5, 7
Conclusion:
- 735 is the composite number which has factors 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735.
- And hence, 735 is not the prime number.
Multiple Choice Questions:
1) 735 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 735 are
a) 1
b) 3, 5, 7
c) 1, 15, 21, 35, 49, 105, 147, 245 and 735
d) 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735
Ans: b) 3, 5, 7
3) 735 is the odd composite number because
a) It has factors 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245 and 735
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c