Is 588 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 588 is composite or not first we have to find its factors.
Contents
Factors of 588:
- If we have taken numbers from 1, 2, 3…for checking factors of 588, we found that 588 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588. Hence, we must say that 588 is a composite number.
- Thus, 588 is the composite umber.
- If we multiply 588 by 1, 2, 3 then we get the multiples of 588 which are 588, 1176 and so on.
About the number 588:
- 588 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588 and hence it is the composite number.
- 588 is the even composite number and it is not the perfect square also.
- If we divide 588 by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588 are the factors of 588.
Note:
- 588 is not the perfect square.
- Factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588
- Prime factors of 588: 2, 3, 7
Conclusion:
- 588 is the composite number which has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588
- And hence, 588 is not the prime number.
Multiple Choice Questions:
1) 588 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 588 are
a) 1
b) 2, 3, 7
c) 1, 4, 6, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588
Ans: c) 1, 4, 6, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294 and 588
3) 588 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