The pair factors of 40 are the sets of two numbers that, when multiplied together, yield 40. The exact positive pair factors of 40 are (1, 40), (2, 20), (4, 10), and (5, 8).
Understanding Pair Factors of 40
Factors of a number are integers that divide the number evenly, leaving no remainder. When we talk about "pair factors," we are referring to two numbers that, when multiplied, result in the original number. For 40, these pairs illustrate all the ways two positive integers can be multiplied to get 40.
The Positive Pair Factors of 40
Based on the provided reference from Byju's, the positive pair factors of 40 are clearly listed as follows:
| Multiplication Form | Pair Factors |
|---|---|
| 1 × 40 | (1, 40) |
| 2 × 20 | (2, 20) |
| 4 × 10 | (4, 10) |
| 5 × 8 | (5, 8) |
Each pair above demonstrates two positive integers whose product is 40. For instance, 1 multiplied by 40 equals 40, 2 multiplied by 20 equals 40, and so on.
Positive Factors Derived from Pairs
From these pair factors, we can also identify all the individual positive factors of 40. These are the unique numbers present in the pairs:
- 1
- 2
- 4
- 5
- 8
- 10
- 20
- 40
Therefore, the positive factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
How Pair Factors are Determined
To find the pair factors of any number like 40, you systematically test which integers can divide it evenly. You start from 1 and work your way up. If a number divides 40, then that number and the result of the division form a pair factor. For example, 40 divided by 1 is 40, so (1, 40) is a pair. 40 divided by 2 is 20, so (2, 20) is a pair, and so on, until the numbers in the pair start repeating or crossing over (e.g., if you found 8 × 5, you wouldn't need to list 5 × 8 again as a new pair, as it's the same set).
For more detailed information on factors and prime factorization, you can refer to resources on Factors of 40.
