1. Find Factor Pairs of 72
Solution:
The factor pairs of 72 are pair of numbers, which are multiplied together resulting in 72
The factor pairs of 72 can be either positive pair or negative pair
Positive factor pairs of 72 :
| 1 | `xx` | 72 | = | 72 | `=>` | (1, 72) | | 2 | `xx` | 36 | = | 72 | `=>` | (2, 36) | | 3 | `xx` | 24 | = | 72 | `=>` | (3, 24) | | 4 | `xx` | 18 | = | 72 | `=>` | (4, 18) | | 6 | `xx` | 12 | = | 72 | `=>` | (6, 12) | | 8 | `xx` | 9 | = | 72 | `=>` | (8, 9) | | 9 | `xx` | 8 | = | 72 | `=>` | (9, 8) |
Since `9` and `8` are already factors of `72`, so we stop here
Hence, Positive factor pairs of 72 are
`(1, 72),(2, 36),(3, 24),(4, 18),(6, 12),(8, 9)`
Negative factor pairs of 72 :
| -1 | `xx` | -72 | = | 72 | `=>` | (-1, -72) | | -2 | `xx` | -36 | = | 72 | `=>` | (-2, -36) | | -3 | `xx` | -24 | = | 72 | `=>` | (-3, -24) | | -4 | `xx` | -18 | = | 72 | `=>` | (-4, -18) | | -6 | `xx` | -12 | = | 72 | `=>` | (-6, -12) | | -8 | `xx` | -9 | = | 72 | `=>` | (-8, -9) | | -9 | `xx` | -8 | = | 72 | `=>` | (-9, -8) |
Since `-9` and `-8` are already factors of `72`, so we stop here
Hence, Negative factor pairs of 72 are
`(-1, -72),(-2, -36),(-3, -24),(-4, -18),(-6, -12),(-8, -9)`
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