Sure, let's break down each number into the product of 3 factors step-by-step:
### (a) 288
We can express 288 as the product of three factors:
[tex]\[ 288 = 2 \times 12 \times 24 \][/tex]
Hence, the factors are [tex]\(2, 12, \)[/tex] and [tex]\(24\)[/tex].
### (b) 384
We can express 384 as the product of three factors:
[tex]\[ 384 = 2 \times 12 \times 32 \][/tex]
Hence, the factors are [tex]\(2, 12, \)[/tex] and [tex]\(32\)[/tex].
### (c) 480
We can express 480 as the product of three factors:
[tex]\[ 480 = 2 \times 12 \times 40 \][/tex]
Hence, the factors are [tex]\(2, 12, \)[/tex] and [tex]\(40\)[/tex].
### Summary:
- For 288: [tex]\((2, 12, 24)\)[/tex]
- For 384: [tex]\((2, 12, 32)\)[/tex]
- For 480: [tex]\((2, 12, 40)\)[/tex]
These sets of factors accurately decompose each given number into the product of three factors.
