Factoring

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What is Factoring?

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Factoring is the process of breaking down a number or an expression into its component parts, called factors, that when multiplied together give the original number or expression.

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What are Factors?

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

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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. For example, 2, 3, 5, and 7 are prime numbers.

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What is a Composite Number?

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A composite number is a natural number greater than 1 that is not prime, meaning it has more than two factors. For example, 4, 6, and 8 are composite numbers.

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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 all of them without leaving a remainder. For example, the GCF of 8 and 12 is 4.

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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 all of them. For example, the LCM of 4 and 5 is 20.

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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 identify the largest factor they have in common.

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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 identify the smallest multiple they have in common.

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What are the factors of 25?

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The factors of 25 are 1, 5, and 25.

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Is 23 a prime number?

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Yes, 23 is a prime number because it has no divisors other than 1 and 23.