We explain what multiples and factors are and how children are taught to recognise multiples from Year 1 and factors from Year 5, with examples of the types of problem they might be asked to solve. Login or Register to add to your saved resources. A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiples and factors are best explained by using a number sentence such as the following: This number sentence tells us that 20 is a multiple of 5 and is also a multiple of 4.
It also tells us that 5 and 4 are factors of By Year 4 , when children have learnt all their times tables they should be able to recognise multiples of any number up to For example, they may be given a number such as 24 and asked if it is a multiple of the following numbers: 10, 2, 5, 8, 6.
Their knowledge of times tables should help them to work out that 24 is a multiple of 2, 8 and 6. Children also learn about factors in Year 4. They may be asked to identify pairs of factors of two-digit numbers.
For example: they may be given the number 60 and asked to pick out two pairs of factors from the following numbers: 7, 3, 9, 8, 15, 4, The answer to this is 3 x 20 and 4 x They may also need to find common multiples. For example: they may be given the numbers 6 and 9 and asked to find three multiples that have both these numbers as factors.
The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder or, alternatively, each of those is a counting number that can be multiplied by another counting number to make A prime factor of a number is just a factor of that number that is also prime.
So, 12 has six factors — 1, 2, 3, 4, 6, and 12 — but only two of them 2 and 3 are prime, so it has only two prime factors. The prime factorization of a number is a factorization — a way of expressing that number as a product — consisting only of primes. The number 1 is not prime.
See prime to learn why. Though many numbers can be factored in more than one way, their prime factorization is unique! Apart from order, there is only one way to factor any number into primes! Factor is related to factory. Just as a factory is a place that makes various products, a factor is a number that makes other numbers as products. She came home with a sticker this week being the 2nd fastest to complete her maths school work.
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Making maths fun There's something for every child Daily sessions with fun enthusiasic lessons from Carol.
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