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Grade 6 - Mathematics
1.17 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.
Q 1: Write all the possible factors of 210.
1,2,3,4,5,6,7,8,9,10,29,39,70,105,210
1,2,3,5,6,8,9,16,19,29,38,49,70,105,210
1,2,3,4,5,6,7,9,16,19,25,29,38,39,70,105,210
1,2,3,5,6,7,10,14,15,21,28,30,35,70,105,210

Q 2: Write the all possible factors of 112.
1,2,4,7,8,14,16,28,56,112
1,2,3,4,6,7,9,52,112
1,2,3,4,6,8,9,26,59,112
1,3,5,6,7,9,15,26,35,38,46,59,112

Q 3: Write all the possible factors of 61.
1,2,3,4,9,16,19,61
1,2,3,4,6,7,9,16,18,19,30,61
1,2,3,4,6,9,16,20,25,28,38,61
1,61

Q 4: Write the first five multiples of 3.
18,21,24,27,30
3,6,9,12
3,6,9,12,15
33,36,39,42,45

Q 5: Write the first five multiples of 5.
5,10,15,20,25
30,35,40,45,50
5,10,15,20,25,30
5,10,15,20

Q 6: Write all the possible factors of 30.
1,2,3,5,6,10,15,30
1,2,3,4,5,10,30
2,3,5,7,9,10,20,30
2,3,4,5,8,10,15,30

Q 7: Any number is a factor of itself.
True
False

Q 8: Write the first five multiples of 11.
55,66,77,88,99
22,33,44,55,66
11,22,33,44,55
11,22,33,44,55,66

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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