In mathematics, factors are the exact divisors of a particular number. In other words, we can say that the factors are the numbers (including both positive and negative numbers) which get multiplied and produce the original number. For example, when we multiply 7 and 9, we get 63, i.e. 7 × 9 = 63, where 7 and 9 are called the factors of 63. Thus, the factors of 89 are the numbers which when multiplied together produce the result as 89. In this article, you will understand the factors of 89, how to find the factors of a number 89 and prime factors of 89 in detail.
What are the Factors of 89?
Factors of 89 are all the integers that we can evenly divide 89 into specific numbers. As we know, any number divided by its factor will be equal to one of the other factors. Thus, when we divide 89 with its factor, it will be equal to another factor. Also, we know that 89 is a prime number, it has only two factors, i.e. 1 and 89.
Factors of 89 |
1 and 89 |
How to Calculate the Factors of 89?
We can find the factors of 89 by dividing 89 with counting numbers, i.e. 1, 2, 3,…., and so on. If we get the whole number as a result, we can consider that divisor as a factor of 89.
89/1 = 89 (a factor)
89/2 = 44.5 (not a factor)
89/3 = 29.66.. (not a factor)
89/4 = 22.25
..
89/89 = 1 (a factor)
As we know, the decimal numbers cannot be the factors of any number. Thus, we consider only whole numbers as the factors.
Factor pairs of 89
To find the pair factors of 89, multiply the 2 numbers in a pair to have the original number as 89. Such numbers are as follows:
Positive factor pairs |
Negative factor pairs |
1 × 89 = 89; (1, 89) |
(-1) × (-89) = 89; (-1, -89) |
89 × 1 = 89; (89, 1) |
(-89) × (-1) = 89; (-89, -1) |
Therefore, the positive factors of 89 are: 1 and 89.
The negative factors of the number 89 are -1 and -89.
Interesting Facts about Factors of 89:
- The sum of all factors of 89 is 90, i.1. 1 + 89 = 90.
- The product of factors of 89 is equal to the number itself.
- The number 89 is a Pythagorean prime number, since the sum of squares of 39 and 80 is equal to the square of 89. Thus, 39^{2} + 80^{2} = 89^{2}.
How to Calculate Prime Factors of 89?
We generally use the prime factorization method to get the prime factors of a number. However, we can write the prime factors of 89 as given below.
89 = 1 × 89
We know that 89 is a prime number, we cannot factor it further since the prime numbers do not have factors other than 1 and the number itself.
Therefore, there are no other prime factors other than 89 itself.
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Frequently Asked Questions on Factors of 89
Is 89 divisible by anything?
89 cannot be divisible by anything other than 1 and 89, since it is a prime number.
Is 89 a prime number and why?
Yes, 89 is a prime number since it has only two factors, i.e. one and the number itself.
What are the multiples of 89?
The multiples of 89 are 89, 178, 267, 356, 445, 534, 623, 712, 801, 890, etc.,
Is 89 a perfect square?
No, 89 is not a perfect square number.
What are the factors of 81?
The factors of 81 are 1, 3, 9, 27, and 81. These can be written as:
1 × 81 = 81
3 × 27 = 81
9 × 9 = 81
What are the factors of 80?
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
1 × 80 = 80
2 × 40 = 80
4 × 20 = 80
5 × 16 = 80
8 × 10 = 80