Is 3948 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 3948 is composite or not first we have to find its factors.
Contents
Factors of 3948:
- If we have taken numbers from 1, 2, 3…for checking factors of 3948, we found that 3948 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948. Hence, we must say that 3948 is a composite number.
- Thus, 3948 is the composite number.
- If we multiply 3948 by 1, 2, 3 then we get the multiples of 3948 which are 3948, 7896 and so on.
About the number 3948:
- 3948 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948 and hence it is the composite number.
- 3948 is the even composite number and it is not the perfect square also.
- If we divide 3948 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948 are the factors of 3948.
Note:
- 3948 is not the perfect square.
- Factors of 3948: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
- Prime factors of 3948: 2, 3, 7, 47
Conclusion:
- 3948 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
- And hence, 3948 is not the prime number.
Multiple Choice Questions:
1) 3948 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 3948 are
a) 3948
b) 2, 3, 7, 47
c) 4, 6, 12, 14, 21, 28, 42, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
Ans: c) 4, 6, 12, 14, 21, 28, 42, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
3) 3948 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b