The factors of 6 are 1, 2, 3 and 6. The factors of 9 are 1, 3 and 9. a) Use one of the symbols or = to make each statement true. i) The number of factors of 6 ............ the number of factors of 9. ii) The lowest factor of 6 ............ the lowest factor of 9. b) Write down the highest common factor (HCF) of 6 and 9.

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The factors of 6 are 1, 2, 3 and 6 - OCR - GCSE Maths - Question 2 - 2023 - Paper 3

Question 2

The factors of 6 are 1, 2, 3 and 6. The factors of 9 are 1, 3 and 9. a) Use one of the symbols <, > or = to make each statement true. i) The number of factors of 6... show full transcript

Worked Solution & Example Answer:The factors of 6 are 1, 2, 3 and 6 - OCR - GCSE Maths - Question 2 - 2023 - Paper 3

Step 1

i) The number of factors of 6 ............ the number of factors of 9.

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Answer

To determine the correct symbol, first identify the number of factors for each number:

Factors of 6: 1, 2, 3, 6 (total = 4)
Factors of 9: 1, 3, 9 (total = 3)

Thus, the comparison should be: 4 > 3. Therefore, the corrected statement is:

The number of factors of 6 > the number of factors of 9.

Step 2

ii) The lowest factor of 6 ............ the lowest factor of 9.

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Answer

The lowest factor for both numbers can be identified as:

Lowest factor of 6: 1
Lowest factor of 9: 1

Since both lowest factors are equal, the correct symbol is:

The lowest factor of 6 = the lowest factor of 9.

Step 3

b) Write down the highest common factor (HCF) of 6 and 9.

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Answer

To find the highest common factor (HCF) of 6 and 9, we list the factors:

The factors of 6 are 1, 2, 3, 6.
The factors of 9 are 1, 3, 9.

The common factors are 1 and 3, and the highest of these is 3. Therefore, the HCF of 6 and 9 is:

HCF(6, 9) = 3.

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