Is 4221 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 4221 is composite or not first we have to find its factors.
Contents
Factors of 4221:
- If we have taken numbers from 1, 2, 3…for checking factors of 4221, we found that 4221 has factors 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221. Hence, we must say that 4221 is a composite number.
- Thus, 4221 is the composite number.
- If we multiply 4221 by 1, 2, 3 then we get the multiples of 4221 which are 4221, 8442 and so on.
4221 is a Composite number or Prime number
About the number 4221:
- 4221 has more than two factors which are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221 and hence it is the composite number.
- 4221 is the odd composite number and it is not the perfect square also.
- If we divide 4221 by 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221 then we get remainder as zero. Hence 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221 are the factors of 4221
Note:
- 4221 is not the perfect square.
- Factors of 4221:1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221
- Prime factors of 4221: 3, 7, 67
Conclusion:
- 4221 is the composite number which has factors 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221.
- And hence, 4221 is not the prime number.
Multiple Choice Questions:
1) 4221 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 4221 are
a) 1
b) 3, 7, 67
c) 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221
d) 1, 9, 21, 63, 201, 469, 603, 1407 and 4221
Ans: d) 1, 9, 21, 63, 201, 469, 603, 1407 and 4221
3) 4221 is the odd composite number because
a) It has factors 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407 and 4221
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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