The multiplication numbers that equal 45 are the pairs of factors that multiply to give 45. These can be both positive and negative.
Positive Factor Pairs of 45
Here are the positive factor pairs of 45, which multiply together to equal 45:
- 1 x 45 = 45
- 3 x 15 = 45
- 5 x 9 = 45
Negative Factor Pairs of 45
The negative factor pairs of 45 also multiply to 45, because a negative times a negative results in a positive number:
- -1 x -45 = 45
- -3 x -15 = 45
- -5 x -9 = 45
All Factors of 45
The complete list of factors for 45, combining both positive and negative, is:
- 1, 3, 5, 9, 15, 45
- -1, -3, -5, -9, -15, -45
Prime Factorization of 45
The prime factorization of 45, as detailed in the BYJU'S reference, shows us how 45 is composed of its prime factors:
- 3 × 3 × 5, which can also be expressed as 3² × 5
Summary of Factors of 45
Here's a table summarizing the factors of 45:
| Category | Pairs/Factors |
|---|---|
| Positive Factor Pairs of 45 | (1, 45), (3, 15), (5, 9) |
| Negative Factor Pairs of 45 | (-1, -45), (-3, -15), (-5, -9) |
| All Factors of 45 | 1, 3, 5, 9, 15, 45, -1, -3, -5, -9, -15, -45 |
| Prime Factorization of 45 | 3 × 3 × 5 (or) 3² × 5 |
In conclusion, the multiplication numbers that equal 45 are the pairs of its factors, both positive and negative, as shown above. The prime factors of 45 are 3, 3, and 5. There are 6 positive factors and 6 negative factors for a total of 12.
