Factors and Multiples Review Practice

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What is a composite number?

Back

A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, it can be divided evenly by numbers other than 1 and itself.

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What is a prime number?

Back

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. It has exactly two distinct positive divisors: 1 and itself.

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What are factors?

Back

Factors are numbers that divide another number evenly, without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

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What are multiples?

Back

Multiples of a number are the products of that number and any integer. For example, the multiples of 4 are 4, 8, 12, 16, 20, etc.

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How do you determine if a number is composite?

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To determine if a number is composite, check if it has divisors other than 1 and itself. If it can be divided evenly by any other number, it is composite.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by all of the numbers.

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What is the greatest common factor (GCF)?

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The greatest common factor (GCF) of two or more integers is the largest positive integer that divides all of the numbers without leaving a remainder.

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How can you find the multiples of a number?

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To find the multiples of a number, multiply that number by integers (1, 2, 3, etc.). For example, the multiples of 3 are 3, 6, 9, 12, etc.

Front

What is the relationship between factors and multiples?

Back

Factors are the numbers that divide another number evenly, while multiples are the results of multiplying a number by integers. Every factor of a number is also a multiple of that number.

Front

What is a number that is neither prime nor composite?

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The number 1 is neither prime nor composite because it has only one positive divisor, which is itself.