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Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

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Oh! Hidden Inside?

Find the number which has 8 divisors, such that the product of the divisors is 331776.

Legs Eleven

Age 11 to 14 Challenge Level:


Imagine starting with the number $5238$.

We can write it as
                                  $5000+200+30+8$
or 
                                  $5\times1000 + 2\times100 + 3\times10 + 8\times1$

Can you express the second number in the same way?

How many 5s, 2s, 3s and 8s are there when you combine the two numbers?