Is 4641 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 4641 is composite or not first we have to find its factors.
Contents
Factors of 4641:
- If we have taken numbers from 1, 2, 3…for checking factors of 4641, we found that 4641 has factors 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641. Hence, we must say that 4641 is a composite number.
- Thus, 4641 is the composite number.
- If we multiply 4641 by 1, 2, 3 then we get the multiples of 4641 which are 4641, 9282 and so on.
4641 is a Composite number or Prime number
About the number 4641:
- 4641 has more than two factors which are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641 and hence it is the composite number.
- 4641 is the odd composite number and it is not the perfect square also.
- If we divide 4641 by 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641 then we get remainder as zero. Hence 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641 are the factors of 4641
Note:
- 4641 is not the perfect square.
- Factors of 4641:1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641
- Prime factors of 4641: 3, 7, 13, 17
Conclusion:
- 4641 is the composite number which has factors 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641.
- And hence, 4641 is not the prime number.
Multiple Choice Questions:
1) 4641 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 4641 are
a) 1
b) 3, 7, 13, 17
c) 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641
d) 1, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641
Ans: d) 1, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641
3) 4641 is the odd composite number because
a) It has factors 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547 and 4641
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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