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Counting in multiples of 4, 8, 50 and 100

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Tutor: Alice

Summary

Counting in multiples of 4, 8, 50 and 100

​​In a nutshell

Counting in multiples of 4,8,504,8,50 and 100100 is similar to recalling times tables. There are patterns that can be recognised to make multiples easier remember and use.



What is a multiple?

​​Definition

A multiple is the result of multiplying two numbers together. Counting in multiples means starting from zero and adding the same number each time. It is the easiest way to see multiples and the patterns that they produce.


Multiples of 4

To find the multiples of 44, create a sequence and add four to each number, starting from zero.

0+44+48+412+4160 \xrightarrow[]{+4} \underline4 \xrightarrow[]{+4} \underline8\xrightarrow[]{+4} \underline{12}\xrightarrow[]{+4}\underline{16}


All the multiples of 44 up to 4848 are listed below.

4,8,12,16,20,24,28,32,36,40,44,484,8,12,16,20,24,28,32,36,40,44,48


Patterns to notice about multiples of 44​:

  • They are all even: each multiple of 44 ends in 2,4,6,82,4,6,8 or 00.
  • They are all multiples of two and can be halved twice.


Multiples of 8

Multiples of 88 are an extension of the eight times tables. To find the multiples of 88, create a sequence and add eight to each number, starting from zero.

0+88+816+824+8320 \xrightarrow[]{+8} \underline8 \xrightarrow[]{+8} \underline{16}\xrightarrow[]{+8} \underline{24}\xrightarrow[]{+8}\underline{32}


All the multiples of 88​ up to 9696 are listed below.

8,16,24,32,40,48,56,64,72,80,88,968,16,24,32,40,48,56,64,72,80,88,96


Patterns to notice about multiples of 88​:

  • They are all even: each multiple of eight ends in 2,4,6,82,4,6,8 or 00.
  • They are double the multiples of 44.


Tip: Notice that the end digits of multiples follow a pattern themselves, for example here they follow the order 8,6,4,2,08,6,4,2,0. Use this to check the next number in the sequence!


Multiples of 100

Counting in multiples of 100100 is very similar to counting in multiples of 1010, except there is an extra zero on the end.


Multiples of 1010:

0+1010+1020+1030+10400 \xrightarrow[]{+10} \underline{10} \xrightarrow[]{+10} \underline{20}\xrightarrow[]{+10} \underline{30}\xrightarrow[]{+10}\underline{40}


Multiples of 100100

0+100100+100200+100300+1004000 \xrightarrow[]{+100} \underline{100} \xrightarrow[]{+100} \underline{200}\xrightarrow[]{+100} \underline{300}\xrightarrow[]{+100}\underline{400}


This is because 100100 is ten lots of 1010.


All the multiples of 100100​ up to 10001000 are listed below.

100,200,300,400,500,600,700,800,900,1000100,200,300,400,500,600,700,800,900,1000


The multiples of 100100 are read as 'one hundred', 'two hundred',...'nine hundred', 'one thousand', 'one thousand, one hundred'...


Patterns to notice about multiples of 100100​:

  • They all end in 0000 .
  • They are all multiples of ten: each multiple of 100100​ ends in 00.


Multiples of 50

Counting in multiples of 5050 is very similar to counting in multiples of 55, except there is an extra zero on the end.


Multiples of 55:

0+55+510+515+5200 \xrightarrow[]{+5} \underline5 \xrightarrow[]{+5} \underline{10}\xrightarrow[]{+5} \underline{15}\xrightarrow[]{+5}\underline{20}

Multiples of 5050

0+5050+50100+50150+502000 \xrightarrow[]{+50} \underline{50} \xrightarrow[]{+50} \underline{100}\xrightarrow[]{+50} \underline{150}\xrightarrow[]{+50}\underline{200}


This is because 5050 is ten lots of 55.

All the multiples of 5050​ up to 500500 are listed below.

50,100,150,200,250,300,350,400,450,50050,100,150,200,250,300,350,400,450,500


Patterns to notice about multiples of 5050​:

  • They all end in either 0000 or 5050.
  • They are all multiples of ten: each multiple of 5050 ends in 00.


Tip: Another way to count in multiples of 5050 is to add 1010 five times!


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FAQs - Frequently Asked Questions

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