Math: Middle School: Grades 6, 7 and 8 Quiz - Factors and Common Factors (Answers)
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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.
[readmore]A common factor is a number that can be evenly divided into a collection or series of whole numbers. For example, the number 1 is a common number that can be evenly divided into any series of whole numbers.
Finding the factors of a whole number begins with starting with the number “1” and then dividing it with the given number. For example, let’s say that our given whole number is “6”.
6 ÷ 1 = 6
We see that when we divide “6” by “1” we get a whole number, i.e., “6”. We then continue to divide the number “6” with each ascending number as follows:
6 ÷ 2 = 3
6 ÷ 3 = 2
6 ÷ 4 = 1.5
6 ÷ 5 = 1.2
6 ÷ 6 = 1
Once you divide the whole number into itself, this will give you the last factor. The last factor of 6 is “6”.
The factors of 6 are then, 1, 2, 3 and 6 because the answer derived is a whole number. 4 and 5 are not factors because they did not divide evenly and the answer included either a fraction or decimal.
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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 |
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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 |
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 |
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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 |
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 |
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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 |
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 |
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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 |
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 |
The factors of 12 are 1, 2, 3, 4, 6 and 12