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Complete this list to show all the factors of 30 - OCR - GCSE Maths - Question 2 - 2019 - Paper 1

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Complete this list to show all the factors of 30. 1 2 .......... .......... 10 30 (b) Write down the highest common factor (HCF) of 25 and 30.

Worked Solution & Example Answer:Complete this list to show all the factors of 30 - OCR - GCSE Maths - Question 2 - 2019 - Paper 1

Step 1

Complete this list to show all the factors of 30.

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Answer

To determine the factors of 30, we need to find all whole numbers that can multiply together to yield 30.

The factors of 30 are:

  • 1
  • 2
  • 3
  • 5
  • 6
  • 10
  • 15
  • 30

Thus, the completed list is: 1 2 3 5 6 10 15 30.

Step 2

Write down the highest common factor (HCF) of 25 and 30.

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Answer

To find the highest common factor (HCF) of 25 and 30, we can list the factors of each number:

  • Factors of 25: 1, 5, 25
  • Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors are 1 and 5. Thus, the highest common factor is:

HCF = 5.

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