Factors and Multiples Challenge

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What is a factor?

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A factor is a whole number that can be divided evenly into another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

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What is a multiple?

Back

A multiple is the result of multiplying a number by an integer. For example, the multiples of 3 are 3, 6, 9, 12, 15, etc.

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What is the Least Common Multiple (LCM)?

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The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers. For example, the LCM of 4 and 5 is 20.

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What is the Greatest Common Factor (GCF)?

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The GCF of two or more numbers is the largest number that divides each of the numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4.

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How do you find the LCM of two numbers?

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To find the LCM, list the multiples of each number and find the smallest common multiple. Alternatively, use the formula: LCM(a, b) = (a * b) / GCF(a, b).

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How do you find the GCF of two numbers?

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To find the GCF, list the factors of each number and find the largest common factor. Alternatively, use the prime factorization method.

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What is the relationship between LCM and GCF?

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The relationship is given by the formula: LCM(a, b) * GCF(a, b) = a * b.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

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What is the LCM of 9 and 12?

Back

The LCM of 9 and 12 is 36.