Is 51 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 51 is composite or not first we have to find its factors.
Contents
Factors of 51:
- If we have taken numbers from 1, 2, 3…for checking factors of 51, we found that 51 has factors 1, 3, 17 and 51. Hence, we must say that 51 is a composite number.
- Thus, 51 is the composite number.
- If we multiply 51 by 1, 2, 3 then we get the multiples of 51 which are 51, 102, and so on.
About the number 51:
- 51 has more than two factors which are 1,3, 17and 51 and hence it is the composite number.
- 51 is the odd composite number and it is not the perfect square also.
- If we divide 51 by 1, 3, 17 and 51 then we get remainder as zero. Hence, 1, 3, 17 and 51 are the factors of 51.
Note:
- 51 is not the perfect square.
- Factors of 51: 1, 3, 17 and 51
- Prime factors of 51: 3, 17
Conclusion:
- 51 is the composite number which has factors 1, 3, 17and 51.
- And hence, 51 is not the prime number.
Multiple Choice Questions:
1) 51 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 51 are
a) 1
b) 3, 17
c) Both a and b
d) 511
Ans: b) 3, 17
3) 1 is the not prime factor of 51 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