Is 3822 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 3822 is composite or not first we have to find its factors.
Contents
Factors of 3822:
- If we have taken numbers from 1, 2, 3…for checking factors of 3822, we found that 3822 has factors 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822. Hence, we must say that 3822 is a composite number.
- Thus, 3822 is the composite number.
- If we multiply 3822 by 1, 2, 3 then we get the multiples of 3822 which are 3822, 7644 and so on.
About the number 3822:
- 3822 has more than two factors which are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822 and hence it is the composite number.
- 3822 is the even composite number and it is not the perfect square also.
- If we divide 3822 by, 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822 are the factors of 3822.
Note:
- 3822 is not the perfect square.
- Factors of 3822: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
- Prime factors of 3822: 2, 3, 7, 13
Conclusion:
- 3822 is the composite number which has factors, 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
- And hence, 3822 is not the prime number.
Multiple Choice Questions:
1) 3822 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 3822 are
a) 3822
b) 2, 3, 7, 13
c) 6, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
d) 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
Ans: c) 6, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
3) 3822 is composite number because
a) It has factors 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911 and 3822
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b