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2 years ago

28 + 24 as a product of two factors using the GCF and the distributtive property

Mathematics

1 answer:

Sloan [31]2 years ago

8 0

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)

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###

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