Is 75 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 75 is composite or not first we have to find its factors.
Contents
Factors of 75:
- If we have taken numbers from 1, 2, 3…for checking factors of 75, we found that 75 has factors 1, 3, 5, 15, 25 and 75. Hence, we must say that 75 is a composite number.
- Thus, 75 is the composite number.
- If we multiply 75 by 1, 2, 3 then we get the multiples of 75 which are 75, 150. and so on.
About the number 75:
- 75 has more than two factors which are 1, 3, 5, 15, 25 and 75 and hence it is the composite number.
- 75 is the odd composite number and it is not the perfect square also.
- If we divide 75 by 1, 3, 5, 15, 25 and 75 then we get remainder as zero. Hence, 1, 3, 5, 15, 25 and 75 are the factors of 75.
Note:
- 75 is not the perfect square.
- Factors of 75: 1, 3, 5, 15,25 and 75
- Prime factors of 75: 3, 5
Conclusion:
- 75 is the composite number which has factors 1, 3, 5, 15, 25 and 75.
- And hence, 75 is not the prime number.
Multiple Choice Questions:
1) 75 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 75 are
a) 1
b) 3, 5
c) Both a and b
d) 751
Ans: b)3, 5
3) 1 is the not prime factor of 75 because
a) It is the prime number
b) 1 is neither prime nor composite number
c) Both a and b
d) Given statement is false
Ans: b) 1 is neither prime nor composite number