Largest number
What is the largest number you can make using the three digits 2, 3
and 4 in any way you like, using any operations you like? You can
only use each digit once.
Age
11 to 14
Challenge level
Problem
What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like. You can only use each digit once.
For example: 34 x 2 = 68 or 3 + 4 2 = 19
Student Solutions
Here are the largest solutions that were sent in.
Matthew from South Farnham School:
4096, by doing 4 to the power 3 to the power 2, which is (4 x 4 x 4) x (4 x 4 x 4) = 64 x 64 = 4096.
Josh from Alameda School:
1 048 576, which is 32 to the power of 4 (32 x 32 x 32 x 32).
Greenford School, Dorset sent in 8 796 093 022 208, which is 2 to the power of 43.
Charlotte, Agnes, Susannah and Miranda from Headington Junior School offered 109 418 000 000 000 000 000, which is about 3 to the power 42.
In fact the exact value of 342 is 109 418 989 131 512 359 209 can you say it aloud easily?