Is 3444 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 3444 is composite or not first we have to find its factors.
Contents
Factors of 3444:
- If we have taken numbers from 1, 2, 3…for checking factors of 3444, we found that 3444 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444. Hence, we must say that 3444 is a composite number.
- Thus, 3444 is the composite number.
- If we multiply 3444 by 1, 2, 3 then we get the multiples of 3444 which are 3444, 6888 and so on.
About the number 3444:
- 3444 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444 and hence it is the composite number.
- 3444 is the even composite number and it is not the perfect square also.
- If we divide 3444 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444 are the factors of 3444.
Note:
- 3444 is not the perfect square.
- Factors of 3444: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
- Prime factors of 3444: 2, 3, 7, 41
Conclusion:
- 3444 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
- And hence, 3444 is not the prime number.
Multiple Choice Questions:
1) 3444 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 3444 are
a) 3444
b) 2, 3, 7, 41
c) 4, 6, 12, 14, 21, 28, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
Ans: b) 2, 3, 7, 41
3) 3444 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all