The integer pairs that can be multiplied together to equal 18 are (1, 18), (2, 9), (3, 6), and their negative counterparts: (-1, -18), (-2, -9), and (-3, -6).
When asked what can equal 18 in multiplication, we are essentially looking for the factors of 18. Factors are numbers that, when multiplied together, produce a given number. For instance, if you multiply two numbers and the result is 18, those two numbers are a factor pair of 18.
Positive Factor Pairs of 18
According to Byju's, the positive factor pairs of 18 are specific sets of whole numbers that multiply to 18. These pairs are fundamental in understanding the divisors of 18.
Here are the positive integer factor pairs of 18:
| Multiplication | Factor Pair |
|---|---|
| 1 x 18 | (1, 18) |
| 2 x 9 | (2, 9) |
| 3 x 6 | (3, 6) |
These pairs show that 1, 2, 3, 6, 9, and 18 are all positive integers that can divide 18 without leaving a remainder. For more details on these, you can refer to the Positive Factors of 18 on Byju's.
Negative Factor Pairs of 18
While often focusing on positive factors, it's also true that negative numbers can multiply together to yield a positive product. Therefore, the negative counterparts of the positive factor pairs also equal 18 when multiplied.
The negative integer factor pairs of 18 are:
- -1 x -18 = 18
- -2 x -9 = 18
- -3 x -6 = 18
How Factors Are Found
Factors of a number like 18 can be systematically found using various methods, including the division method or prime factorization. Prime factorization, as discussed on Byju's regarding Factors of 18, involves breaking down a number into its prime components. For example, the prime factorization of 18 is 2 × 3 × 3. Combining these prime factors in different ways helps identify all its factor pairs.
