Is 248 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 248 is composite or not first we have to find its factors.
Contents
Factors of 248:
- If we have taken numbers from 1, 2, 3…for checking factors of 248, we found that 248 has factors 1, 2, 4, 8, 31, 62, 124 and 248. Hence, we must say that 248 is a composite number.
- Thus, 248 is the composite umber.
- If we multiply 248 by 1, 2, 3 then we get the multiples of 248 which are 248, 496, and so on.
About the number 248:
- 248 has more than two factors which are 1, 2, 4, 8, 31, 62, 124 and 248 and hence it is the composite number.
- 248 is the even composite number and it is not the perfect square also.
- If we divide 248 by 1, 2,4, 8, 31, 62, 124 and 248 then we get remainder as zero. Hence, 1, 2, 4, 8, 31, 62, 124 and 248 are the factors of 248.
Note:
- 248 is not the perfect square.
- Factors of 248: 1, 2, 4, 8, 31, 62, 124 and 248
- Prime factors of 248: 2, 31
Conclusion:
- 248 is the composite number which has factors 1, 2, 4, 8, 31, 62, 124 and 248.
- And hence, 248 is not the prime number.
Multiple Choice Questions:
1) 248 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 248 are
a) 1
b) 2, 31
c) Both a and b
d) 1, 4, 8, 62, 124 and 248
Ans: d) 1, 4, 8, 62, 124 and 248
3) 248 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