Factoring Fun: Real-Life Applications

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What is factoring?

Back

Factoring is the process of breaking down a number into its smaller components, called factors, that can be multiplied together to get the original number.

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What are factors?

Back

Factors are numbers that can be multiplied together to produce another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

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How do you find the factors of a number?

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To find the factors of a number, divide the number by integers starting from 1 up to that number. If the division results in a whole number, both the divisor and the quotient are factors.

Front

What is the greatest common factor (GCF)?

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The greatest common factor (GCF) is the largest factor that two or more numbers share. For example, the GCF of 12 and 18 is 6.

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What is a prime number?

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A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, 7, and 11.

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What is a composite number?

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A composite number is a natural number greater than 1 that has more than two factors. For example, 4, 6, 8, and 9 are composite numbers.

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How can you use factoring in real life?

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Factoring can be used in real life for organizing items, such as distributing apples into baskets or arranging plants in rows.

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If a farmer has 24 apples, what are the possible numbers of apples he can put in each basket?

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1, 2, 3, 4, 6, 8, 12, 24.

Front

If a gardener has 72 plants, what are the possible numbers of plants per row?

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1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

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If a school has 45 students, what are the possible team sizes?

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1, 3, 5, 9, 15, 45.