Is 3228 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 3228 is composite or not first we have to find its factors.
Contents
Factors of 3228:
- If we have taken numbers from 1, 2, 3…for checking factors of 3228, we found that 3228 has factors 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228. Hence, we must say that 3228 is a composite number.
- Thus, 3228 is the composite number.
- If we multiply 3228 by 1, 2, 3 then we get the multiples of 3228 which are 3228, 6456 and so on.
About the number 3228:
- 3228 has more than two factors which are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228 and hence it is the composite number.
- 3228 is the even composite number and it is not the perfect square also.
- If we divide 3228 by, 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228 are the factors of 3228.
Note:
- 3228 is not the perfect square.
- Factors of 3228: 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228
- Prime factors of 3228: 2, 3, 269
Conclusion:
- 3228 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228
- And hence, 3228 is not the prime number.
Multiple Choice Questions:
1) 3228 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 3228 are
a) 3228
b) 2, 3, 269
c) 4, 6, 12, 538, 807, 1076, 1614 and 3228
d) 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228
Ans: b) 2, 3, 269
3) 3228 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614 and 3228