Multiples and factors

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Summary

​​Multiples and factors

In a nutshell

A multiple is a number you get when you multiply a certain number by a whole number. A factor is a number that divides into a certain number exactly with no remainder.


Multiples

Multiples are the numbers you get by multiplying a certain number by a whole number.  The times table displays the multiples of different numbers. 


Example 1

What are the first 1010 multiples of 55?


5×1=55×2=105×3=155×4=205×5=255×6=305×7=355×8=405×9=455×10=50\begin{aligned} 5 \times 1 &=5 \\ 5 \times 2 &= 10 \\ 5 \times 3 &= 15 \\5 \times 4 &= 20 \\5 \times 5 &= 25 \\5 \times 6 &= 30 \\5 \times 7 &= 35 \\5 \times 8 &= 40 \\5 \times 9 &= 45 \\ 5 \times 10 &= 5 0\\\end{aligned}


Multiples of 5=5,10,15,20,25,30,35,40,45,50.\underline{Multiples\space of\space 5 = 5,10,15,20,25,30,35,40,45,50.}

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Factors

Factors are numbers that divide into a certain number exactly with no remainder. Factors always come in pairs. 


Example 2

What are the factors of 3030​?


1×30=302×15=303×10=305×6=30\begin{aligned} &1 \times 30 &= 30 \\ &2 \times 15 &= 30 \\ &3 \times 10 &= 30 \\ &5 \times 6 &= 30 \end{aligned}


Factors of 30=1,2,3,5,6,10,15,30.\underline{Factors\space of\space30=1,2,3,5,6,10,15,30.}​​


Note: All numbers are a factor of themselves and 11



Common factors

A common factor is a factor of two or more numbers which is the same. 


Example 3

What are the common factors of 2020 and 88?


Identify the factors of  2020.


Factors of 20=1,2,4,5,10,20{Factors\space of\space20=1,2,4,5,10,20}​​


Identify the factors of  88.


Factors of 8=1,2,4,8{Factors\space of\space8=1,2,4,8}​​

Identify which factors are the same for 88​ and 2020


Factors of 8 and 20=1,2,4.\underline{Factors\space of\space8 \space and\space 20 =1,2,4.}​​


Note: All even numbers have a common factor of 22.


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FAQs - Frequently Asked Questions

What do the time tables show?

What are factors?

What are multiples?

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