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Find the common factors and at least first 3 possible multiples of each numbers using any of the methods.
1)25 and 75
2) 35 and 45
3) 21 and 56
4) 54 and 72
5) 27 and 36​

Sagot :

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Factors and Multiples

Factors are numbers that when multiplied will result to the given number. It divides that number without leaving any remainder. Multiples are the products of multiplying a certain number by 1 - 10. Divisibility rules are set of specific rules that apply to a number to check whether the given number is divisible by a particular number or not. Helps find the factors and multiples of numbers without performing long division.  

Answers:

1. Common Factors: 1, 5, 25;

  Multiples: 25 - 25, 50, 75    

                   75 - 75, 150, 225

2. Common Factors: 1, 5  

   Multiples: 35 - 35, 70, 105    

                    45 - 45, 90, 135

3. Common Factors: 1, 7

    Multiples: 21 - 21, 42, 63

                     56 - 56, 112, 168

4. Common Factors: 1, 2, 3, 6, 9, 18

   Multiples: 54 - 54, 108, 162

                     72 - 72, 144, 216

5. Common Factors: 1, 3, 9

   Multiples: 27 - 27, 54, 81

                    36 - 36, 72, 108

Solutions:

1. Factors of 25 and 75.

25 - 1, 5, 25

75 - 1, 3, 5, 15, 25, 75      

Common Factors: 1, 5, 25

Multiples of 25 and 75.

25 - 25, 50, 75

75 - 75, 150, 225

2. Factors of 35 and 45.

35 - 1, 5, 7, 35

45 - 1, 3, 5, 9, 15, 45  

Common Factors: 1, 5

Multiples of 35 and 45.

35 - 35, 70, 105

45 - 45, 90, 135

3. Factors of 21 and 56.

21 - 1, 3, 7, 21

56 - 1, 2, 4, 7, 8, 14, 28, 56

Common Factors: 1, 7

Multiples of 21 and 56.

21 - 21, 42, 63

56 - 56, 112, 168

4. Factors of 54 and 72.

54 - 1, 2, 3, 6, 9, 18, 27, 56

72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Common Factors: 1, 2, 3, 6, 9, 18

Multiples of 54 and 72.

54 - 54, 108, 162

72 - 72, 144, 216

5. Factors of 27 and 36.

27 - 1, 3, 9, 27

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

Common Factors: 1, 3, 9

Multiples of 27 and 36.

27 - 27, 54, 81

36 - 36, 72, 108

What are factors: https://brainly.ph/question/21607997

What are multiples: https://brainly.ph/question/21607997

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