Is 3213 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 3213 is composite or not first we have to find its factors.
Contents
Factors of 3213:
- If we have taken numbers from 1, 2, 3…for checking factors of 3213, we found that 3213 has factors 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213. Hence, we must say that 3213 is a composite number.
- Thus, 3213 is the composite number.
- If we multiply 3213 by 1, 2, 3 then we get the multiples of 3213 which are 3213, 6426 and so on.
3213 is a Composite number or Prime number
About the number 3213:
- 3213 has more than two factors which are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213 and hence it is the composite number.
- 3213 is the odd composite number and it is not the perfect square also.
- If we divide 3213 by 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213 then we get remainder as zero. Hence 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213 are the factors of 3213
Note:
- 3213 is not the perfect square.
- Factors of 3213: 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213
- Prime factors of 3213: 3, 7, 17
Conclusion:
- 3213 is the composite number which has factors 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213.
- And hence, 3213 is not the prime number.
Multiple Choice Questions:
1) 3213 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3213 are
a) 1
b) 3, 7, 17
c) 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213
d) 1, 9, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213
Ans: d) 1, 9, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213
3) 3213 is the odd composite number because
a) It has factors 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071 and 3213
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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