Is 3432 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 3432 is composite or not first we have to find its factors.
Factors of 3432:
- If we have taken numbers from 1, 2, 3…for checking factors of 3432, we found that 3432 has factors 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432. Hence, we must say that 3432 is a composite number.
- Thus, 3432 is the composite number.
- If we multiply 3432 by 1, 2, 3 then we get the multiples of 3432 which are 3432, 6864 and so on.
About the number 3432:
- 3432 has more than two factors which are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432 and hence it is the composite number.
- 3432 is the even composite number and it is not the perfect square also.
- If we divide 3432 by, 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432 are the factors of 3432.
Note:
- 3432 is not the perfect square.
- Factors of 3432: 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432
- Prime factors of 3432: 2, 3, 11, 13
Conclusion:
- 3432 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432
- And hence, 3432 is not the prime number.
Multiple Choice Questions:
1) 3432 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 3432 are
a) 3432
b) 2, 3, 11, 13
c) 4, 6, 8, 12, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432
d) 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432
Ans: b) 2, 3, 11, 13
3) 3432 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716 and 3432
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all