Is 432 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 432 is composite or not first we have to find its factors.
Contents
Factors of 432:
- If we have taken numbers from 1, 2, 3…for checking factors of 432, we found that 432 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432. Hence, we must say that 432 is a composite number.
- Thus, 432 is the composite umber.
- If we multiply 432 by 1, 2, 3 then we get the multiples of 432 which are 432, 864 and so on.
About the number 432:
- 432 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432 and hence it is the composite number.
- 432 is the even composite number and it is not the perfect square also.
- If we divide 432 by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432 are the factors of 432.
Note:
- 432 is not the perfect square.
- Factors of 432: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432
- Prime factors of 432: 2, 3
Conclusion:
- 432 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216
- And hence, 432 is not the prime number.
Multiple Choice Questions:
1) 432 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 432 are
a) 2
b) 2, 3
c) 1, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432
Ans: b) 2, 3
3) 432 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c