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### Grade 6 - Mathematics1.17 Factors and Multiples

#### Factors:

Each one of the natural numbers that divides a given number exactly (i.e., with remainder zero) is called a factor of the given number. A factor is also called a divisor.

Example:
Write all the possible factors of 24.
24 = 2x12
=3x8
=4x6
=6x4
=8x3
=12x2
Therefore, all the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

#### Multiples:

The products we get when a number is multiplied by an integer (1, 2, 3, ..) are called the multiples of the given number.

Example:
Write the first 4 multiples of 8.
First four multiples of 8 are 8x1, 8x2, 8x3, and 8x4.
Therefore, the first four multiple of 8 are 8, 16, 24, and 32.

Directions: Choose the correct answer. Also write at least 10 examples of your own.

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### Grade 6 - Mathematics1.17 Factors and Multiples

 Q 1: Write all the possible factors of 30.1,2,3,4,5,10,302,3,4,5,8,10,15,301,2,3,5,6,10,15,302,3,5,7,9,10,20,30 Q 2: Write all the possible factors of 48.1,2,3,6,9,12,461,2,3,5,6,9,7,8,12,15,19,201,2,3,6,8,9,12,15,16,19,17,421,2,3,4,6,8,12,16,24,48 Q 3: Write all the possible factors of 61.1,2,3,4,6,7,9,16,18,19,30,611,2,3,4,6,9,16,20,25,28,38,611,611,2,3,4,9,16,19,61 Q 4: Write the all possible factors of 112.1,2,3,4,6,7,9,52,1121,3,5,6,7,9,15,26,35,38,46,59,1121,2,4,7,8,14,16,28,56,1121,2,3,4,6,8,9,26,59,112 Q 5: Write all the possible factors of 210.1,2,3,4,5,6,7,9,16,19,25,29,38,39,70,105,2101,2,3,5,6,7,10,14,15,21,28,30,35,70,105,2101,2,3,5,6,8,9,16,19,29,38,49,70,105,2101,2,3,4,5,6,7,8,9,10,29,39,70,105,210 Q 6: Write the first five multiples of 3.3,6,9,1233,36,39,42,453,6,9,12,1518,21,24,27,30 Q 7: Write the first five multiples of 5.5,10,15,205,10,15,20,25,3030,35,40,45,505,10,15,20,25 Q 8: Write the first five multiples of 11.55,66,77,88,9922,33,44,55,6611,22,33,44,5511,22,33,44,55,66 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!