Is 42 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 42 is composite or not first we have to find its factors.
Contents
Factors of 42:
- If we have taken numbers from 1, 2, 3…for checking factors of 42, we found that 42 has factors 1, 2, 3, 6, 7, 14, 21 and 42. Hence, we must say that 42 is a composite number.
- Thus, 42 is the composite number.
- If we multiply 42 by 1, 2, 3 then we get the multiples of 42 which are 42, 84, and so on.
About the number 42:
- 42 has more than two factors which are 1, 2, 3, 6, 7, 14, 21and 42 and hence it is the composite number.
- 42 is the even composite number and it is not the perfect square also.
- If we divide 42 by 1, 2, 3, 6, 7, 14, 21 and 42 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21 and 42 are the factors of 42.
Note:
- 42 is not the perfect square.
- Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42
- Prime factors of 42: 2, 3, 7
Conclusion:
- 42 is the composite number which has factors 1, 2, 3, 6, 7, 14, 21and 42.
- And hence, 42 is not the prime number.
Multiple Choice Questions:
1) 42 is a
a) even 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 42 are
a) 1
b) 2, 3, 7
c) Both a and b
d) 421
Ans: b) 2, 3, 7
3) 1 is the not prime factor of 42 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