#53 Dividing digits
Set by Katie Steckles
The number 1 has one digit and is divisible by 1; 12 has two digits and is divisible by 2; 123 has three digits and is divisible by 3.
Which new digit (not already used) can be added to the end of 123 to make a four-digit number that is divisible by 4?
How far can you extend this number by adding unused digits to continue the property of divisibility by the number of digits?
Can you find a way to arrange the digits 0-9 into an order for which the whole number is divisible by 10, and as you remove digits from the end it continues to produce numbers that are divisible by their number of digits, all the way down to 1?
Solution next week
Answer: BOSON BUDDIES
Quick quiz #282
set by Bethan Ackerley
1 The face of the Great Sphinx of Giza in Egypt is thought to resemble which pharaoh?
2 The closing of a plant's leaves or petals in response to darkness is an example of which phenomenon?
3 How many extant species of kiwi birds are there?
4 Which of the following NASA astronauts wasn't a member of "The Fourteen", the third group of astronauts the agency selected: Neil Armstrong, Buzz Aldrin or Gene Cernan?
5 In what year were neon, krypton and xenon discovered?
Quick quiz #282
Answers
1 Khafre
2 Nyctinasty
3 Five
4 Neil Armstrong
5 1898