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find the greatest number that divides 89,112 and 158 when 3 is added to them
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find the greatest number that divides 89,112 and 158 when 3 is added t...
Problem: Find the greatest number that divides 89, 112 and 158 when 3 is added to them.
Solution:
To find the greatest number that divides three given numbers, we need to find the common factors of the numbers. We can then find the greatest common factor (GCF) by selecting the largest common factor.
Step 1: Add 3 to each number
When we add 3 to each number, we get:
- 89 + 3 = 92
- 112 + 3 = 115
- 158 + 3 = 161
Step 2: Find the factors of the new numbers
Now we need to find the factors of the new numbers. We can use division or factor trees to find the factors. Here are the factors of the new numbers:
- 92: 1, 2, 4, 23, 46, 92
- 115: 1, 5, 23, 115
- 161: 1, 7, 23, 161
Step 3: Find the common factors
Now we need to find the common factors of the new numbers. These are the factors that appear in all three lists. The common factors are:
- 1
- 23
Step 4: Find the greatest common factor
The greatest common factor (GCF) is the largest common factor. In this case, the GCF is 23.
Therefore, the greatest number that divides 89, 112 and 158 when 3 is added to them is 23.
Answer: The greatest number that divides 89, 112 and 158 when 3 is added to them is 23.
Solution:
To find the greatest number that divides three given numbers, we need to find the common factors of the numbers. We can then find the greatest common factor (GCF) by selecting the largest common factor.
Step 1: Add 3 to each number
When we add 3 to each number, we get:
- 89 + 3 = 92
- 112 + 3 = 115
- 158 + 3 = 161
Step 2: Find the factors of the new numbers
Now we need to find the factors of the new numbers. We can use division or factor trees to find the factors. Here are the factors of the new numbers:
- 92: 1, 2, 4, 23, 46, 92
- 115: 1, 5, 23, 115
- 161: 1, 7, 23, 161
Step 3: Find the common factors
Now we need to find the common factors of the new numbers. These are the factors that appear in all three lists. The common factors are:
- 1
- 23
Step 4: Find the greatest common factor
The greatest common factor (GCF) is the largest common factor. In this case, the GCF is 23.
Therefore, the greatest number that divides 89, 112 and 158 when 3 is added to them is 23.
Answer: The greatest number that divides 89, 112 and 158 when 3 is added to them is 23.
Community Answer
find the greatest number that divides 89,112 and 158 when 3 is added t...
when 3 is added to the number = 92 , 115 , 161
now 92 = 2 x 2 x 23
115 = 5 x 23
161 = 7 x 23
now the greatest number is 23
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find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers?
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find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers?.
find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for find the greatest number that divides 89,112 and 158 when 3 is added to them Related: NCERT Solutions(Part - 1) - Playing with Numbers?.
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