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These are the topics related to the standard: Compute fluently with multi-digit numbers and find common factors and multiples."

Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.

- Divisibility Test Practise using the quick ways to spot whether a number is divisible by the digits two to nine.
- Factor Trees Create factor trees to find the prime factors of the given numbers.
- 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.
- Satisfy Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.
- 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.

Click on a topic below for suggested lesson starters, resources and activities from Transum.

- Calculator All pupils should learn to calculate accurately, selecting mental methods or calculating devices as appropriate. Pupils, through practice, should learn to use the most appropriate method to perform a calculation. It is appropriate for them to use a calculator when performing a calculation without a calculator will take an inappropriate amount of time. In addition to simply finding answers, calculators provide a fascinating opportunity for pupils to investigate number patterns, properties and relationships. They can easily use a calculator to learn more about Mathematics through open ended explorations, games and puzzles. On this website you can find activities which help pupils practise calculator skills and become more familiar with this essential tool whether it be basic, scientific or a graphic display calculator (GDC).To specifically practise using a GDC there is nothing better than our Exam-Style Questions which include worked solutions, many of which contain screen shots of the TI-nSpire GDC.
- Factors A factor is a whole number that divides exactly into another whole number. We say the first number is a factor of the second number. Prime numbers only have two factors, one and themselves. After becoming familiar with times tables pupils then practice using this knowledge by recognising factors of numbers. There are well known and some less well known divisibility tests that are of some use in solving more complex number problems. Pupils need to know how to find the highest common factor (HCF) of two or more numbers either mentally or using a pen and paper strategy so that they can correctly manipulate fractions and algebraic expressions.
- LCM LCM stands for lowest common multiple or least common multiple. The LCM of two (or more numbers) is the smallest number that both of the numbers divide into exactly. Being able to find the LCM is useful when trying to find a common denominator when adding two fractions together. The LCM also describes the points when two (or more) periodic repetitions coincide. HCF stands for highest common factor which is also known as the greatest common factor. The HCF of two (or more) numbers is the largest number that divides into the two numbers exactly. Being able to find the HCF is useful in everyday organisational tasks and also when factorising algebraic expressions.
- Number Spotting patterns is an important skill in many areas of life. The world of numbers contains many fascinating patterns and understanding them enables better problem solving strategies. From seeing patterns in the multiples of numbers shaded in a hundred square to spotting the recurring sequences of digits in decimal numbers there is a great deal for pupils to be introduced to. This topic includes even, odd, prime, triangular, perfect, abundant, square and cube numbers. It uses factors and multiples to find solutions to real life problems and encourages number connections to be investigated for pleasure. There are a lot of puzzles, challenges and games too. See also the Mental Methods topic and our Number Skills Inventory.
- Place Value Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the "ones place", "tens place", "hundreds place"). This greatly simplified arithmetic and led to the quick spread of the notation across the world.