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# Multiples and Factors

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### Multiples and Factors

1. 1. Multiples and Factors<br />
2. 2. Multiples<br />A multiple is formed by multiplying a given number by the counting numbers.<br />The counting numbers are 1, 2, 3, 4, 5, 6, etc.<br />
3. 3. Example: List the multiples of 2:<br />2x 0 = 0<br />2x 1 = 2<br />2x 2 =4 <br />2x 3= 6<br />2x 4= 8<br />2x 5 = 10 <br />2 x 6= 12<br />2 x 7 = 14<br />2 x 8 = 16<br /> 2x 9 = 18 <br />2x 10 = 20<br />2 x 11 = 22<br />2 x 12 = 24<br />So, the multiples of 4 are 2,4,6,8,10 etc.<br />Counting Numbers<br />
4. 4. What are the first five multiples of 13?<br />13 x 1 =13<br />13 x 2 = 26<br />13 x 3 = 39<br />13 x 4 = 52<br />13 x 5 = 65<br />13, 26, 39, 52, 65<br />
5. 5. Find the Missing Multiples<br />24<br />30<br />6, 12, 18, ____, ____<br />___, 6, 9, 12, ____, ____, 21<br />___, 24, 36, 48, 60, ____<br />15<br />18<br />3<br />72<br />12<br />
6. 6. Factors<br />Factors are the numbers you multiply together to get a product.<br />For example, the product 24 has several factors.<br />24 = 1 x 24<br />24 = 2 x 12<br />24 = 3 x 8<br />24 = 4 x 6<br />SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24<br />
7. 7. Finding Factors<br />Start with 1 x the number.<br />Try 2, 3, 4, etc.<br />When you repeat your factors, cross out the repeat - you’re done at this point.<br />If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.<br />
8. 8. What are the factors of 16?<br />1 x 16<br />2 x 8<br />3 x ??<br />3 is not a factor, so cross it out<br />4 x 4<br />doubles = done<br />The factors of 16 are 1,2,4,8,16<br />
9. 9. What are the factors of 18?<br />1 x 18<br />The factors are 1,2,3,6,9,18<br />2 x 9<br />3 x 6<br />Repeat! Cross it out! We’re done!<br />4 x ??<br />5 x ??<br />6 x 3<br />
10. 10. What are the factors of 7?<br />The only factors of 7 are 1,7<br />1 x 7<br />2 x ??<br />3 x ??<br />4 x ??<br />This works, but it is a repeat. We are done.<br />5 x ??<br />6 x ??<br />7 x 1<br />
11. 11. The End! <br />