Is 462 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 462 is composite or not first we have to find its factors.
Contents
Factors of 462:
- If we have taken numbers from 1, 2, 3…for checking factors of 462, we found that 462 has factors 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462. Hence, we must say that 462 is a composite number.
- Thus, 462 is the composite umber.
- If we multiply 462 by 1, 2, 3 then we get the multiples of 462 which are 462, 924 and so on.
About the number 462:
- 462 has more than two factors which are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462 and hence it is the composite number.
- 462 is the even composite number and it is not the perfect square also.
- If we divide 462 by 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462 are the factors of 462.
Note:
- 462 is not the perfect square.
- Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462
- Prime factors of 462: 2, 3, 7, 11
Conclusion:
- 462 is the composite number which has factors 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462
- And hence, 462 is not the prime number.
Multiple Choice Questions:
1) 462 is a
a) Prime number
b) odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 462 are
a) 2
b) 2, 3, 7, 11
c) 1, 6, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462
d) 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462
Ans: c) 1, 6, 14, 21, 22, 33, 42, 66, 77, 154, 231 and 462
3) 462 is the composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: b) more than two factors