Factors of 86
Factors of 86 are the numbers which when multiplied in pairs give the product as 86. These factors can be negative as well. Did you know, like all even numbers (except for 2), 86 has more than one factor. However, it is one of those rare numbers that is the product of two prime numbers i.e. 43 and 2 In this lesson, we will calculate the factors of 86, its prime factors, and its factors in pairs along with solved examples for a better understanding.
- Factors of 86: 1, 2, 43, and 86
- Factors of -86: -1, -2, -43, and -86
- Prime Factorization of 86: 86 = 2 × 43
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What are Factors of 86?
The factors of 86 are all the numbers that give the value 86 when multiplied. As 86 is an even number, it has more than one factor. To understand why it is composite, let's recall the definition of a composite number. A number is said to be composite if it has more than two factors.
What we witness here is that 86, on dividing by 43, gives remainder as 0. Factors of 86 are the numbers that leaves the remainder as 0 when 86 is being divided by them.
How to Calculate Factors of 86?
To calculate the factors of 86, we can use different methods like prime factorization and the division method. In prime factorization, we express 86 as a product of its prime factors and in the division method, we see what numbers divide 86 exactly. Explore factors using illustrations and interactive examples:
- Factors of 69: The factors of 69 are 1, 3, 23, 69.
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 85 - The factors of 85 are 1, 5, 17 and 85
- Factors of 91 - The factors of 91 are 1, 7 13, 91
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 86 by Prime Factorization
Prime factorization is the process of writing a number as a product of its prime factors. Let us learn how to find the factors of a number using prime factorization. We begin by searching for the smallest prime number which can divide 86 leaving the remainder as 0. As 86 is an even number, 2 is one of its factors.
We obtain 43 on dividing 86 by 2, which is again a prime number. So, we have 2 and 43 as the prime factors of 86. Thus, prime factorization of 86 = 2 × 43. Now that we have done the prime factorization of our number, we can multiply them and get the other factors.
Q: Can you try and find out if all the factors are covered or not?
A: And as you might have already guessed, for prime numbers, there are no other factors.
Pair factors are the factors of a number given in pairs, which when multiplied together, give that original number.
- 6 and 7 both are factors of 42. For example, 6 × 7 = 42.
- The pair factors of 86 would be the two numbers which, when multiplied together, result in 86.
The following table represents the pair factors of 86:
| Product | Pair factors |
| 1 × 86 | (1,86) |
| 2 × 43 | (2,43) |
Since the product of two negative numbers is positive, i.e., (-ve) × (-ve)= (+ve). So, (-1,-86), (-2,-43) are also factor pairs of 86.
FAQs on Factors of 86
What are the Factors of 86?
The factors of 86 are 1, 2, 43, and 86.
What are the Factors of 86 and 42?
The factors of 86 are 1, 2, 43, and 86 and the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Is 86 Prime or Composite?
86 is a composite number as it has 4 factors. A number is called prime if it has only two factors.
What are the Common Factors of 86 and 64?
Factors of 86 = 1, 2, 43, and 86. Similarly, the factors of 64 = 1, 2, 4, 8, 16, 32 and 64.
Therefore, the common factors of 86 and 64 are 1, and 2.