Is 252 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 252 is composite or not first we have to find its factors.
Contents
Factors of 252:
- If we have taken numbers from 1, 2, 3…for checking factors of 252, we found that 252 has factors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252. Hence, we must say that 252 is a composite number.
- Thus, 252 is the composite umber.
- If we multiply 252 by 1, 2, 3 then we get the multiples of 252 which are 252, 504, and so on
About the number 252:
- 252 has more than two factors which are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252 and hence it is the composite number.
- 252 is the even composite number and it is not the perfect square also.
- If we divide 252 by 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252 are the factors of 252.
Note:
- 252 is not the perfect square.
- Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252
- Prime factors of 252: 2, 3, 7
Conclusion:
- 252 is the composite number which has factors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252.
- And hence, 252 is not the prime number.
Multiple Choice Questions:
1) 252 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 252 are
a) 1
b) 2, 3, 7
c) Both a and b
d) 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126 and 252
Ans: b) 2, 3, 7
3) 252 is the composite number as it has
a) Only two factors
b) It is divisible by 2
c) More than 2 factors
d) Both b and c
Ans: c) more than 2 factors