Mathematics / Year 5 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098)

Elaborations
  • exploring factors and multiples using number sequences
  • using simple divisibility tests
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Factors

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Year level 5-6
Resource type
Learning area Mathematics
Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Interactive resource

Arrays: factor families

Make equal rows and columns to explore how numbers can be broken up into factors. For example, the number 24 can be expressed as 12x2 or 2x12, and therefore, it can be divided equally using its factors 12 and 2. Identify a missing factor to complete a factor family. Solve four expressions: two multiplication and two division ...

Interactive resource

Cubirocks are measured!

Help three cuboid characters to estimate the volume of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: small, medium-sized or large. Use a measuring cube to help estimate the volume of different 'cubirocks' made up of cubes. Complete a data table. Volumes range ...

Moving Image

What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

Interactive resource

Arrays: explore factors

Explore how numbers can be broken up with factors. For example, the number 9 can be expressed as 9x1 or 3x3. Predict the factors of a number in the range 1 to 50. Make an array of equal rows and columns with the number to check its factors. Choose a statement to describe how many factors the number has. This learning object ...

Interactive resource

Cubirocks galore!

Help two cuboid characters to estimate the volume of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: medium-sized or large. Use a measuring cube to help estimate the volume of different 'cubirocks' made up of cubes. Complete a data table. Volumes range from 1 unit ...

Assessment resource

Pobble arrays: find factors: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. Look at the given number of pobbles and enter the number of gates and rows. For example, decide how many equal rows of pobbles are needed to fit 24 of them through four gates. The object starts with a practice task, which provides text and ...

Teacher resource

Prime, composite and square numbers

These resources and tasks focus on prime and composite numbers and can be used to support an inquiry into prime numbers and factors.

Assessment resource

Pobble arrays: make multiples: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. For example, start with 19 pobbles. Decide whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. The object starts with a practice task, which provides text and animation ...

Interactive resource

Cubirocks go!

Help three cuboid characters estimate and compare the volumes of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: small, medium-sized or large. Notice that if 8 medium cubes and 27 small cubes fill a large cube that this ratio can be applied to all 'cubirocks'. Use ...

Moving Image

What are factors and multiples?

Some mathematical problems involve finding the highest common factor. For others you might need to find the lowest common multiple. Here are some examples that show you how to work these out. You'll also see the difference between factors and multiples.

Teacher resource

TIMES Module 19: Number and Algebra: multiples, factors and powers - teacher guide

This is a 33-page guide for teachers. It introduces the concepts of primes, composites, prime factorisation, factors, multiples, odd and even numbers, the least common multiple and the highest common factor.

Interactive resource

Pobble arrays: make multiples

Help creatures to line up and walk through gates. Make equal rows and columns. For example, start with 17 pobbles. Predict whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. Check your prediction. This learning object is one in a series of three objects.

Interactive resource

Arrays: word problems with products from 10 to 30

Read a number problem and think about how to solve it. For example, when 13 is divided by a number, the answer is 6 with a remainder of 1. Write the problem as a multiplication or division number sentence with a missing number. Think about multiplication or division facts to find the missing number. Test your answer by ...

Interactive resource

Arrays: word problems with products from 35 to 64

Read a number problem and think about how to solve it. For example, when 54 is divided by a number, the answer is 10 with a remainder of 4. Write the problem as a multiplication or division number sentence with a missing number. Think about multiplication or division facts to find the missing number. Test your answer by ...

Interactive resource

Arrays: word problems with products from 30 to 50

Read a number problem and think about how to solve it. For example, when 38 is divided by a number, the answer is 7 with a remainder of 3. Write the problem as a multiplication or division number sentence with a missing number. Think about multiplication or division facts to find the missing number. Test your answer by ...

Interactive resource

The divider: without remainders

Solve whole number division problems such as 156/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

Interactive resource

The multiplier: generate hard multiplications

Solve multiplications such as 67x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...

Interactive resource

The divider: whole number remainders

Solve whole number division problems such as 157/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

Interactive resource

The multiplier: make your own hard multiplications

Solve multiplications such as 84x93. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a sum into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in a series of five objects.

Tablet friendly (Interactive resource)

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Collection

Mental calculation strategies - multiplication and division

This collection of 14 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing multiplication and division. The collection also aims to develop and consolidate students' knowledge of multiplicative number facts. It is organised in four categories: ...