There are 366 different Starters of The Day, many to choose from. You will find below some starters on the topic of Factors. A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Factors Starters:

A game based around the concept of factors and abundant numbers.

Spot the factors and the multiples amongst the numbers in the grid.

If each number in a sequence must be a factor or multiple of the previous number what is the longest sequence that can be made from the given numbers?

Find four single digit numbers that multiply together to give 120. How many different ways are there of answering this question?

A puzzle about the lifts in a hotel which serve floors based on the day of the week.

The Verruca Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Verruca Value of 24?

## Exercises

#### Aunt Sophie's Post Office

Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working.

#### Connect 4 Factors

This a game for one or two players. The winner is the first to line up four numbers with a common factor.

#### Delightfully Divisible

Arrange the digits one to nine to make a number which is divisible in the way described.

#### Divisibility Test

Practise using the quick ways to spot whether a number is divisible by the digits two to nine.

#### Divisibility Tests 2-12

A visual aid designed to be projected in the classroom. Here you can find the quick ways of telling whether a number is exactly divisible by the numbers two to twelve.

#### Factor Trees

Create factor trees to find the prime factors of the given numbers.

#### Factorising

Practise the skills of algebraic factorisation in this structured online self marking exercise.

#### Fizz Buzzer

The digital version of the popular fizz buzz game. Press the buzzers if they are factors of the counter.

#### Flabbergasted Game

This game for one or two players is an exciting challenge to demonstrate an understanding of factors and multiples.

#### HCF and LCM

Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.

#### HCF and LCM Calculator

A demonstration of how to find the highest common factor (HCF or GCD) and the lowest common multiple (LCM) of two numbers.

#### Number Grids

Investigate the properties of number with these interactive number grids.

#### Pick The Primes

Pick the prime fruit from the tree as quickly as possible. Practise to improve your personal best time.

#### Prime Labyrinth

Find the path to the centre of the labyrinth by moving along the prime numbers.

#### Prison Cell Problem

A number patterns investigation involving prisoners and prison guards.

#### Satisfy

Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

#### Scallywags and Scoundrels

Arrange the scallywags and scoundrels on the chairs so that the numbers of any two sitting next to each other add up to a prime number.

#### Sieve of Eratosthenes

A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

#### Square and Cube Roots

Find square roots and cube roots by first calculating the prime factorisation of a number.

#### Stamp Sticking

Drag stamps onto the envelopes to make the exact postage as shown at the top left of each envelope.

#### Three Ways

Find three different ways of multiplying four different digits together to get the given target number. There are nine levels for this online challenge.

#### Times Square

Practise your times tables with this self-checking multiplication grid

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