Is 1430 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 1430 is composite or not first we have to find its factors.
Contents
Factors of 1430:
- If we have taken numbers from 1, 2, 3…for checking factors of 1430, we found that 1430 has factors 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430. Hence, we must say that 1430 is a composite number.
- Thus, 1430 is the composite number.
- If we multiply 1430 by 1, 2, 3 then we get the multiples of 1430 which are 1430, 2860 and so on.
About the number 1430:
- 1430 has more than two factors which are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430 and hence it is the composite number.
- 1430 is the even composite number and it is not the perfect square also.
- If we divide 1430 by 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430 then we get remainder as zero. Hence, 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430 are the factors of 1430.
Note:
- 1430 is not the perfect square.
- Factors of 1430: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
- Prime factors of 1430: 2, 5, 11, 13
Conclusion:
- 1430 is the composite number which has factors 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
- And hence, 1430 is not the prime number.
Multiple Choice Questions:
1) 1430 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1430 are
a) 10, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
b) 2, 5, 11, 13
c) 1, 10, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
d) 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
Ans: a) 10, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
3) 1430 is composite number because
a) It has factors 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715 and 1430
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b