Is 3384 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 3384 is composite or not first we have to find its factors.
Contents
Factors of 3384:
- If we have taken numbers from 1, 2, 3…for checking factors of 3384, we found that 3384 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384. Hence, we must say that 3384 is a composite number.
- Thus, 3384 is the composite number.
- If we multiply 3384 by 1, 2, 3 then we get the multiples of 3384 which are 3384, 6768 and so on.
About the number 3384:
- 3384 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384 and hence it is the composite number.
- 3384 is the even composite number and it is not the perfect square also.
- If we divide 3384 by, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384 are the factors of 3384.
Note:
- 3384 is not the perfect square.
- Factors of 3384: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384
- Prime factors of 3384: 2, 3, 47
Conclusion:
- 3384 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384
- And hence, 3384 is not the prime number.
Multiple Choice Questions:
1) 3384 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3384 are
a) 3384
b) 2, 3, 47
c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384
Ans: b) 2, 3, 47
3) 3384 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692 and 3384
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all