Is 765 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 765 is composite or not first we have to find its factors.
Contents
Factors of 765:
- If we have taken numbers from 1, 2, 3…for checking factors of 765, we found that 765 has factors 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765. Hence, we must say that 765 is a composite number.
- Thus, 765 is the composite number.
- If we multiply 765 by 1, 2, 3 then we get the multiples of 765 which are 765, 1530 and so on.
765 is a Composite number or Prime number
About the number 765:
- 765 has more than two factors which are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765 and hence it is the composite number.
- 765 is the odd composite number and it is not the perfect square also.
- If we divide 765 by 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765 are the factors of 765
Note:
- 765 is not the perfect square.
- Factors of 765: 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765
- Prime factors of 765: 3, 5, 17
Conclusion:
- 765 is the composite number which has factors 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765.
- And hence, 765 is not the prime number.
Multiple Choice Questions:
1) 765 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 765 are
a) 1
b) 3, 5, 17
c) 1, 9, 15, 45, 51, 85, 153, 255 and 765
d) 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765
Ans: b) 3, 5, 17
3) 765 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255 and 765
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c