**"Factorisation"**

## Easy Calc

*By toni On 1 February, 2021 · Leave a Comment*

Can you find the easy way to calculate this square root without doing any long division?

Hint: Think of factors!

Click here for the EASY CALC worksheet.

Click for The EASY CALC Notes for Teachers

## How Many Factors?

*By toni On 1 January, 2021 · 3 Comments*

See the Inclusion and Home Learning Guide for related activities on the same topic for ages 4 to 18+.

How many factors does 72 have?

Investigate numbers that are products of a square number and a cube number. How many factors do they have?

How does the number 1 behave in the world […]

## How Old Am I?

*By toni On 17 July, 2016 · Leave a Comment*

It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!

Can you work out how old I am?

Now I am thinking “Was there ever a time in my life when I had other special birthdays?”

Could I have said:

“In 3 […]

## One to Eight

*By toni On 3 February, 2012 · 4 Comments*

Which of the following products are close to 1368:

20 x 40 20 x 50 20 x 70

40 x 50 40 x 70 or 50 x 70?

In these three multiplication sums, using the digits 1 to 8 once and only […]

## Funny Factorisation

*By toni On 3 February, 2012 · 5 Comments*

(1) Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each once and only once.

Can you use the digits 1 to 9 once, but only once, to replace the stars and complete the multiplication * *9 […]

## Curious Number

*By toni On 18 January, 2012 · 2 Comments*

Can you use the digits 1, 2, 3, 4, 5 and 6, each only once, to make a number which is divisible by 6

… so that when the final or last digit is removed it becomes a 5-digit number divisible by 5, and when the last digit is removed from that number […]

## Biggest Divisor Same Remainder

*By toni On 18 January, 2012 · Leave a Comment*

What is the largest number that, when divided into each of 1905, 2587, 3951, 7020 and 8725, leaves the same remainder each time?

When a problem seems difficult a good strategy is to try a simple case.

The diagram should help you to find the answer to the same question […]

## Always Perfect

*By toni On 16 January, 2012 · Leave a Comment*

2 x 3 x 4 x 5 + 1 = 11 x 11

21 x 22 x 23 x 24 + 1 = 505 x 505

Pick your own four consecutive numbers, find their product and add one. Is your answer a perfect square?

Show that if you add 1 to the […]

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