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Funny Factorisation

Age 11 to 14 Challenge Level:

Parts 1 and 2

What are the factors of 4396?

Click the button below if you would like some help getting started with this:

How might finding the prime factorisation of 4396 help you with finding the factors?

Part 3

  * * $9$
$\times$   $4$ *
--- --- --- ---
* $6$ * *

What is the largest that the result of the mulitplication can be?
What is the smallest that the two-digit number can be?
What does this tell you about the three-digit number?

How do the units digits of the two and three-digit numbers determine the units digit of the four-digit number?