Factors and Multiples

 source: OCR Maths

 

 

 

 

 

 

 

 

 

Many different solutions possible.

Like a=48, b=96, c=288, d=864, e=4320

Factors and Multiples

 via @MrMJLane

Which is larger?

Rich Tasks 54: Visualizing Multiples of 45

• Write the first 20 multiples of 45.
• Do you see any patterns? Is there a shorter way to find them all?
• Place the last two digits numbers you found around the icosagon (20-sided polygon)
• Join the points in order of appearance.
• What visualization do you get, when you do the same process with 55?
• Do the same procedure with 35, 25 and 15.
• How about the multiples of 3? What polygon should you use?

Problem 62: Lowest Common Multiple

The sum of four different positive integers is 100. What is the smallest value of the LOWEST COMMON FACTOR of these four integers?

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What is the answer if the sum is 500?

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What is the answer if the sum is 600?

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What do you notice?

This question is taken and adapted from Brilliant.org.

Problem 48: 6-Digit Divisibility Challenge