1) Finding the HCF of the addends in the given expression
To write 28 + 24 as a product of two factors, we need to determine the HCF of the addends (28 and 24). This can be done by listing the factors of the addends. The greatest factor that is common in 28 and 24 is the HCF.
If the number is in bolded text, the number is a common factor.
- Factors of 28: 1, 2, 4, 7, 14, 28
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Since 4 > 2 > 1, the HCF is 4.
2) Writing 28 and 24 as a product of two factors
Now, let us put the provided expression between parentheses.
Finally, factor four out of the expression, as it is the GCF of 28 and 24.
- ⇒ (28 + 24)
- ⇒ [(4 × 7) + (4 × 6)]
- ⇒ 4(7 + 6)
Therefore, 28 + 24 as a product of two factors is 4(7 + 6).
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