Is 3792 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 3792 is composite or not first we have to find its factors.
Contents
Factors of 3792:
- If we have taken numbers from 1, 2, 3…for checking factors of 3792, we found that 3792 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792. Hence, we must say that 3792 is a composite number.
- Thus, 3792 is the composite number.
- If we multiply 3792 by 1, 2, 3 then we get the multiples of 3792 which are 3792, 7584 and so on.
About the number 3792:
- 3792 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792 and hence it is the composite number.
- 3792 is the even composite number and it is not the perfect square also.
- If we divide 3792 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792 are the factors of 3792.
Note:
- 3792 is not the perfect square.
- Factors of 3792: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
- Prime factors of 3792: 2, 3, 79
Conclusion:
- 3792 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
- And hence, 3792 is not the prime number.
Multiple Choice Questions:
1) 3792 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 3792 are
a) 3792
b) 2, 3, 79
c) 4, 6, 8, 12, 16, 24, 48, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
Ans: c) 4, 6, 8, 12, 16, 24, 48, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
3) 3792 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896 and 3792
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b