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Definition--Factors and Multiples--Multiple

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# Multiples

## Topic

Factors and Multiples

## Definition

A multiple is a number that can be divided by another number without leaving a remainder.

## Description

Multiples are fundamental in understanding the relationships between numbers in mathematics. They are particularly relevant when learning about factors and multiples, which are key concepts in elementary and middle school math curricula. A multiple of a number is obtained by multiplying that number by an integer. For example, the multiples of 5 include 5, 10, 15, 20, and so on.

Understanding multiples is crucial for solving problems related to least common multiples (LCM) and greatest common divisors (GCD). These concepts are widely used in various areas of mathematics, including algebra and number theory. For instance, finding the LCM of two numbers is essential when adding or subtracting fractions with different denominators. Similarly, the GCD is used to simplify fractions to their lowest terms.

In practical applications, multiples are used in scheduling, computer science algorithms, and even in understanding musical rhythms. Recognizing and working with multiples helps build a strong mathematical foundation, enabling students to tackle more complex problems as they advance in their studies.

For a complete collection of terms related to factors and multiples click on this link: ** Factors and Multiples Collection**.

Common Core Standards | CCSS.MATH.CONTENT.3.OA.B.6, CCSS.MATH.CONTENT.4.OA.B.4, CCSS.MATH.CONTENT.6.NS.B.4, CCSS.MATH.CONTENT.HSA.SSE.A.1, CCSS.MATH.CONTENT.3.NBT.A.3, CCSS.MATH.CONTENT.4.NF.B.4.A |
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Grade Range | 3 - 8 |

Curriculum Nodes |
Algebra• The Language of Math• Numerical Expressions |

Copyright Year | 2013 |

Keywords | multiples, factors, definitions, glossary term, multiples |