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28 + 24 as a product of two factors using the GCF and the distributtive property
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28 + 24 as a product of two factors using the GCF and the distributtive property
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Mathematics
4 years
2021-08-02T15:13:01+00:00
2021-08-02T15:13:01+00:00 1 Answers
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Answer:
28 + 24 as a product of two factors is 4(7 + 6)
Step-by-step explanation:
GCF is the greatest common factor of two numbers
Let us find the GCF of the given numbers 28 and 24
∵ 28 = 1 × 28, 2 × 14, 4 × 7
∴ The factors of 28 are 1, 2, 4, 7, 14, 28
∵ 24 = 1 ×24, 2 × 12, 3 × 8, 4 × 6
∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
→ Find the common factors of them
∵ The common factors of 28 and 24 are 1, 2, 4
∵ The greatest factor of them is 4
∴ The GCF = 4
→ Write 28 as 4 × 7 and 24 as 4 × 6
∵ 28 = 4 × 7 and 24 = 4 × 6
∴ 28 + 24 = 4 × 7 + 4 × 6
→ Take 4 as a common factor
∵ 4 × 7 + 4 × 6 = 4(7 + 6) ⇒ distributive propoerty
∴ 28 + 24 = 4(7 + 6)
∴ 28 + 24 as a product of two factors is 4(7 + 6)