# Questions tagged [formation-of-numbers]

For puzzles about forming numbers using other numbers and mathematical operations. Use with [mathematics]

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### Making 1353 using Four fours

As the title says, the goal for this puzzle is making 1353 out of simply 4, 4, 4 and 4. Concatenation is not allowed. Here are all of the allowed operators. Addition (+), Subtraction and negatives (-)...
154 views

### Use 1 6 7 8 (all numbers) to equal 2 [closed]

Create an equation using 1, 6, 7 and 8 to equal 2. Can use brackets, plus, minus, subtract, multiply.
142 views

### Number relations in a number table

I found this puzzle in a school study group. Choices are 9, 10,11, 12, 13.  \begin{array}{|c|c|c|c|} \hline 22& 22 & 23 & 24 \\ \hline 22 & 32& 41& 52\\ \hline 23 & 41 &...
• 53
213 views

### How do you make numbers 1 - 100 using the digits "2 0 2 4"? [closed]

I'm trying to complete this "2024 Challenge", but I'm still missing quite a lot of numbers. I need your help to finish this challenge. All answers are appreciated. Rules: Use all 4 digits ...
1 vote
175 views

### Can you obtain a given set of numbers by halving a chosen number? [closed]

Given a set of numbers, I want to check if it is possible to produce the full set of numbers by repeatedly splitting one single starting number into its halves and doing the same for each of the ...
• 39
411 views

### Approximate ln(2) out of small numbers

Given numbers 1,2,...n, the goal of this puzzle is to make a number as close to the mathematical constant $\ln(2) ≈ 0.69314718055$ as possible. Rules You can only use the four mathematical ...
• 2,413
109 views

### How to make all the numbers ranging from 1-30 only using the numbers 1, 5, 0, 4 [closed]

You can use the numbers 1, 5, 0, and 4 but you can't square and cube, you can't use any other numbers, you can't use the numbers more than once, your answer can't be rounded, and you MUST use all the ...
161 views

### Getting The Numbers 33 Through 99 Only Using 2, 0, 2, and 4 [closed]

How do you get the numbers 33-99 by using the numbers 2,0,2,4
429 views

### How to make 2012 by using 2, 0, 1, 2?

How to make $2012$ by using $2, 0, 1, 2$? Allowed Operations: Addition, Subtraction, Multiplication, Division, $!$ (factorial), subfactorial ( $!n$), primorial (product of the first $n$ primes), ...
756 views

### How to get the numbers from 50 - 100 with the numbers 2, 0, 2, 4

All I need is 56-59, 69, 73, 75- 77, 79, 86, 90-94, 99. I've done the rest but I would love to hear other solutions. Rules: Use any of the following operations: basic operations (+ - x /), to the ...
• 79
141 views

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1k views

### Make expressions equal to 1,000 using exactly six 1s

You may use up to two subtraction symbols (no negation symbols). You may use up to two decimal points. You will use one vinculum for division (no "/"). You may use concatenation of digits ...
• 1,788
1 vote
287 views

### Smallest number to be made in one way

Take the numbers 1,3,4,6,9,10. We can make other numbers using these numbers and the operations +,-,*,/. E.g. we can make 244 with: ...
• 7,845
259 views

### Two many restrictions

Using only the number 2 several times, form the numbers 2, 22 and 222. The following operations are available: addition subtraction multiplication division exponentiation Each of these operations ...
• 2,684
388 views

### Forming 2023 with 7s

Idea from Ed Pegg Jr. Can you form 2023 using only the digits 7, exponentiation, modulus and factorial operations?
• 36.2k
2k views

### Largest number using 1, 2, 3, 4 [closed]

Find the largest number using digits 1,2,3,4. Allowed operations are addition, subtraction, multiplication, division, exponents, brackets and decimal point. No other digits besides one of each of 1, 2,...
• 12.2k
3k views

### Create 76 out of 1,2,3,4

You can use +,-,*,/,^,! and sqrt operations (no concatenation) and all numbers must be used once and only once. for example, 75 can be made by $3×(4!+2-1)$ and $81=(2-1)×3^4$ I've been trying to reach ...
• 123