Is 3971 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 3971 is composite or not first we have to find its factors.
Contents
Factors of 3971:
- If we have taken numbers from 1, 2, 3…for checking factors of 3971, we found that 3971 has factors 1, 11, 19, 209, 361 and 3971. Hence, we must say that 3971 is a composite number.
- Thus, 3971 is the composite number.
- If we multiply 3971 by 1, 2, 3 then we get the multiples of 3971 which are 3971, 7942 and so on.
3971 is a Composite number or Prime number
About the number 3971:
- 3971 has more than two factors which are 1, 11, 19, 209, 361 and 3971 and hence it is the composite number.
- 3971 is the odd composite number and it is not the perfect square also.
- If we divide 3971 by 1, 11, 19, 209, 361 and 3971 then we get remainder as zero. Hence 1, 11, 19, 209, 361 and 3971 are the factors of 3971
Note:
- 3971 is not the perfect square.
- Factors of 3971:1, 11, 19, 209, 361 and 3971
- Prime factors of 3971: 11, 19
Conclusion:
- 3971 is the composite number which has factors 1, 11, 19, 209, 361 and 3971.
- And hence, 3971 is not the prime number.
Multiple Choice Questions:
1) 3971 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 3971 are
a) 1
b) 11, 19
c) 1, 11, 19, 209, 361 and 3971
d) 1, 209, 361 and 3971
Ans: d) 1, 209, 361 and 3971
3) 3971 is the odd composite number because
a) It has factors 1, 11, 19, 209, 361 and 3971
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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