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$Factors and Common Factors$

How many factors does 24 have?

Factors and Common Factors

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A factor is a number that can be evenly divided into other whole number without having a remainder left over. For example, 5 is a common factor of 5, 10, 15, 20, 25, etc. Whole numbers begin at “0” and continue through infinity. Fractions and decimals are not found in common factors making finding common factors rather easy.

1 .

For the whole number given below, find the right answer that lists all of the number’s factors.

27

1, 2, 3, 9, 27

1, 3, 9, 27

1, 3, 6, 9, 27

1, 3, 9, 12, 27

27 ÷ 1 = 27; 27 ÷ 2 = 13.5; 27 ÷ 3 = 9; 27 ÷ 4 = 6.75; 27 ÷ 5 = 5.4; 27 ÷ 6 = 4.5; 27 ÷ 7 = 3.85; 27 ÷ 8 = 3.37; 27 ÷ 9 = 3; 27 ÷ 10 = 2.7; 27 ÷ 11 = 2.45; 27 ÷ 12 = 2.25; 27 ÷ 13 = 2.07; 27 ÷ 14 = 1.92; 27 ÷ 15 = 1.8; 27 ÷ 16 = 1.68; 27 ÷ 17 = 1.58; 27 ÷ 18 = 1.5; 27 ÷ 19 = 1.42; 27 ÷ 20 = 1.35; 27 ÷ 21 = 1.28; 27 ÷ 22 = 1.22; 27 ÷ 23 = 1.17; 27 ÷ 24 = 1.12; 27 ÷ 25 = 1.08; 27 ÷ 26 = 1.03; 27 ÷ 27 = 1
The factors of 27 are 1, 3, 9 and 27

2 .

For the whole number given below, find the right answer that lists all of the number’s factors.

16

1, 2, 3, 4, 8, 16

1, 2, 4, 6, 8, 16

1, 2, 4, 8, 16

1, 2, 3, 6, 8, 16

16 ÷ 1 = 16; 16 ÷ 2 = 8; 16 ÷ 3 = 5.33; 16 ÷ 4 = 4; 16 ÷ 5 = 3.2; 16 ÷ 6 = 2.66; 16 ÷ 7 = 2.28; 16 ÷ 8 = 2; 16 ÷ 9 = 1.77; 16 ÷ 10 = 1.6; 16 ÷ 11 = 1.45; 16 ÷ 12 = 1.33; 16 ÷ 13 = 1.23; 16 ÷ 14 = 1.14; 16 ÷ 15 = 1.06; 16 ÷ 16 = 1
The factors of 16 are 1, 2, 4, 8 and 16

3 .

For the whole number given below, find the right answer that lists all of the number’s factors.

13

1, 13

1, 3, 13

1, 3, 6, 13

1, 6, 13

13 ÷ 1 = 13; 13 ÷ 2 = 6.5; 13 ÷ 3 = 4.33; 13 ÷ 4 = 3.25; 13 ÷ 5 = 2.6; 13 ÷ 6 = 2.16; 13 ÷ 7 = 1.85; 13 ÷ 8 = 1.62; 13 ÷ 9 = 1.44; 13 ÷ 10 = 1.3; 13 ÷ 11 = 1.18; 13 ÷ 12 = 1.08; 13 ÷ 13 = 1
The factors of 13 are 1 and 13

4 .

For the whole number given below, find the right answer that lists all of the number’s factors.

36

1, 2, 3, 6, 9, 12, 36

1, 2, 3, 4, 6, 12, 36

1, 2, 3, 4, 5, 9, 18, 36

1, 2, 3, 4, 6, 9, 12, 18, 36

36 ÷ 1 = 36; 36 ÷ 2 = 18; 36 ÷ 3 = 12; 36 ÷ 4 = 9; 36 ÷ 5 = 7.2; 36 ÷ 6 = 6; 36 ÷ 7 = 5.14; 36 ÷ 8 = 4.5; 36 ÷ 9 = 4; 36 ÷ 10 = 3.6; 36 ÷ 11 = 3.27; 36 ÷ 12 = 3; 36 ÷ 13 = 2.76; 36 ÷ 14 = 2.57; 36 ÷ 15 = 2.4; 36 ÷ 16 = 2.25; 36 ÷ 17 = 2.11; 36 ÷ 18 = 2; 36 ÷ 19 = 1.89; 36 ÷ 20 = 1.8; 36 ÷ 21 = 1.71; 36 ÷ 22 = 1.63; 36 ÷ 23 = 1.56; 36 ÷ 24 = 1.5; 36 ÷ 25 = 1.44; 36 ÷ 26 = 1.38; 36 ÷ 27 = 1.33; 36 ÷ 28 = 1.28; 36 ÷ 29 = 1.24; 36 ÷ 30 = 1.2; 36 ÷ 31 = 1.16; 36 ÷ 32 = 1.12; 36 ÷ 33 = 1.09; 36 ÷ 34 = 1.05; 36 ÷ 35 = 1.02; 36 ÷ 36 = 1
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36

5 .

For the whole number given below, find the right answer that lists all of the number’s factors.

24

1, 2, 3, 4, 6, 8, 12, 24

1, 2, 3, 4, 6, 12, 24

1, 2, 4, 6, 8, 12, 24

1, 2, 3, 4, 8, 12, 24

24 ÷ 1 = 24; 24 ÷ 2 = 12; 24 ÷ 3 = 8; 24 ÷ 4 = 6; 24 ÷ 5 = 4.8; 24 ÷ 6 = 4; 24 ÷ 7 = 3.42; 24 ÷ 8 = 3; 24 ÷ 9 = 2.66; 24 ÷ 10 = 2.4; 24 ÷ 11 = 2.18; 24 ÷ 12 = 2; 24 ÷ 13 = 1.84; 24 ÷ 14 = 1.71; 24 ÷ 15 = 1.6; 24 ÷ 16 = 1.5; 24 ÷ 17 = 1.41; 24 ÷ 18 = 1.33; 24 ÷ 19 = 1.26; 24 ÷ 20 = 1.2; 24 ÷ 21 = 1.14; 24 ÷ 22 = 1.09; 24 ÷ 23 = 1.04; 24 ÷ 24 = 1
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

6 .

For the whole number given below, find the right answer that lists all of the number’s factors.

21

1, 7, 21

1, 3, 7, 21

1, 3, 7, 9, 21

1, 3, 9, 21

21 ÷ 1 = 21; 21 ÷ 2 = 10.5; 21 ÷ 3 = 7; 21 ÷ 4 = 5.25; 21 ÷ 5 = 4.2; 21 ÷ 6 = 3.5; 21 ÷ 7 = 3; 21 ÷ 8 = 2.62; 21 ÷ 9 = 2.33; 21 ÷ 10 = 2.1; 21 ÷ 11 = 1.90; 21 ÷ 12 = 1.75; 21 ÷ 13 = 1.61; 21 ÷ 14 = 1.5; 21 ÷ 15 = 1.4; 21 ÷ 16 = 1.31; 21 ÷ 17 = 1.23; 21 ÷ 18 = 1.16; 21 ÷ 19 = 1.10; 21 ÷ 20 = 1.05; 21 ÷ 21 = 1
The factors of 21 are 1, 3, 7 and 21

7 .

For the whole number given below, find the right answer that lists all of the number’s factors.

9

3, 9

1, 9

1, 3, 9

1, 3, 6, 9

9 ÷ 1 = 9; 9 ÷ 2 = 4.5; 9 ÷ 3 = 3; 9 ÷ 4 = 2.25; 9 ÷ 5 = 1.8; 9 ÷ 6 = 1.5; 9 ÷ 7 = 1.28; 9 ÷ 8 = 1.12; 9 ÷ 9 = 1
The factors of 9 are 1, 3 and 9

8 .

For the whole number given below, find the right answer that lists all of the number’s factors.

19

1, 3, 19

1, 3, 4, 19

1, 7, 19

1, 19

19 ÷ 1 = 19; 19 ÷ 2 = 9.5; 19 ÷ 3 = 6.33; 19 ÷ 4 = 4.75; 19 ÷ 5 = 3.8; 19 ÷ 6 = 3.16; 19 ÷ 7 = 2.71; 19 ÷ 8 = 2.37; 19 ÷ 9 = 2.11; 19 ÷ 10 = 1.9; 19 ÷ 11 = 1.72; 19 ÷ 12 = 1.58; 19 ÷ 13 = 1.46; 19 ÷ 14 = 1.35; 19 ÷ 15 = 1.26; 19 ÷ 16 = 1.18; 19 ÷ 17 = 1.11; 19 ÷ 18 = 1.05; 19 ÷ 19 = 1
The factors of 19 are 1 and 19

9 .

For the whole number given below, find the right answer that lists all of the number’s factors.

18

1, 2, 3, 9, 18

1, 2, 3, 6, 10, 18

1, 2, 6, 9, 10, 18

1, 2, 3, 6, 9, 18

18 ÷ 1 = 18; 18 ÷ 2 = 9; 18 ÷ 3 = 6; 18 ÷ 4 = 4.5; 18 ÷ 5 = 3.6; 18 ÷ 6 = 3; 18 ÷ 7 = 2.57; 18 ÷ 8 = 2.25; 18 ÷ 9 = 2; 18 ÷ 10 = 1.8; 18 ÷ 11 = 1.63; 18 ÷ 12 = 1.5; 18 ÷ 13 = 1.38; 18 ÷ 14 = 1.28; 18 ÷ 15 = 1.2; 18 ÷ 16 = 1.12; 18 ÷ 17 = 1.05; 18 ÷ 18 = 1
The factors of 18 are 1, 2, 3, 6, 9 and 18

10 .

For the whole number given below, find the right answer that lists all of the number’s factors.

12

1, 2, 3, 4, 6, 10, 12

1, 2, 3, 4, 6, 12

1, 2, 3, 4, 10, 12

1, 2, 4, 6, 12

12 ÷ 1 = 12; 12 ÷ 2 = 6; 12 ÷ 3 = 4; 12 ÷ 4 = 3; 12 ÷ 5 = 2.4; 12 ÷ 6 = 2; 12 ÷ 7 = 1.71; 12 ÷ 8 = 1.5; 12 ÷ 9 = 1.33; 12 ÷ 10 = 1.2; 12 ÷ 11 = 1.09; 12 ÷12 = 1
The factors of 12 are 1, 2, 3, 4, 6 and 12

Author: Christine G. Broome

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