Brace yourselves for the ultimate number challenge!
I have a ten digit number, abcdefghij. Each of the digits is different, and
- a is divisible by 1
- ab is divisible by 2
- abc is divisible by 3
- abcd is divisible by 4
- abcde is divisible by 5
- abcdef is divisible by 6
- abcdefg is divisible by 7
- abcdefgh is divisible by 8
- abcdefghi is divisible by 9
- abcdefghij is divisible by 10
What’s my number?
[To clarify: a, b, c, d, e, f, g, h, i, and j are all single digits. Each digit from 0 to 9 is represented by exactly one letter. The number abcdefghij is a ten-digit number whose first digit is a, second digit is b, and so on. It does not mean that you multiply a x b x c x…]
This is super challenging and will take lots of time but I am confident that somebody in Ospreys’ class can crack this! 🙂
Why don’t you pair up or form a team to work on it?
Set up a Zoom conference.
This is irrelevant but for today’s maths I think the answer to number 11 is wrong. It should be 4 not 3. Because 0.75*4=3 0.75*3=2.25
Actually, I was wrong and misread the question. Sorry!
I detect that someone was rushing… 🙂
Can you use a number more than once?
Yes Grace
I figured it out!
The answer is 1232525610.
1 ÷ 1 = 1
12 ÷ 2 = 6
123 ÷ 3 = 41
1232 ÷ 4 = 308
12325 ÷ 5 = 2465
123252 ÷ 6 = 20542
1232525 ÷ 7 = 176075
12325256 ÷ 8 = 154157
123252561 ÷ 9 = 13594729
1232525610 ÷ 10 = 123252561
This took a long time, but not as long as you’d expect!
Btw don’t mind that some of the numbers are highlighted. The device thinks they’re phone numbers.