Is 870 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 870 is composite or not first we have to find its factors.
Contents
Factors of 870:
- If we have taken numbers from 1, 2, 3…for checking factors of 870, we found that 870 has factors 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870. Hence, we must say that 870 is a composite number.
- Thus, 870 is the composite umber.
- If we multiply 870 by 1, 2, 3 then we get the multiples of 870 which are 870, 1740 and so on.
About the number 870:
- 870 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870 and hence it is the composite number.
- 870 is the even composite number and it is not the perfect square also.
- If we divide 870 by 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870 are the factors of 870.
Note:
- 870 is not the perfect square.
- Factors of 870: 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870
- Prime factors of 870: 2, 3, 5, 29
Conclusion:
- 870 is the composite number which has factors 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870
- And hence, 870 is not the prime number.
Multiple Choice Questions:
1) 870 is a
a) Odd number
b) Prime number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 870 are
a) 1
b) 2, 3, 5, 29
c) 1, 6, 10, 15, 30, 58, 87, 145, 174, 290, 435 and 870
d) 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870
Ans: b) 2, 3, 5, 29
3) 870 is the composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870