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#### Arithmetic operations. Number identities , The fundamental theorm of arithmetic. Prime factorisation.

Try to get one billion $1000000000$ by multiplying two whole numbers, in each of which there cannot be a single zero.

#### Arithmetic operations. Number identities , Puzzles

In the equation $101 – 102 = 1,$ move one digit in such a way that that it becomes true.

#### Arithmetic operations. Number identities , Puzzles

Using five nines, arithmetic operations and exponentiation, form the numbers from 1 to 13.

#### Arithmetic operations. Number identities , Puzzles

Using five eights, arithmetic operations and exponentiation, form the numbers from 1 to 20.

#### Arithmetic operations. Number identities , Puzzles

Using five sevens, arithmetic operations and exponentiation, form the numbers from 1 to 22.

#### Arithmetic operations. Number identities , Puzzles

Using five sixes, arithmetic operations and exponentiation, form the numbers from 1 to 14.

#### Arithmetic operations. Number identities , Puzzles

Using five fives, arithmetic operations and exponentiation, form the numbers from 1 to 17.

#### Arithmetic operations. Number identities , Puzzles

Using five fours, arithmetic operations and exponentiation, form the numbers from 1 to 22.

#### Arithmetic operations. Number identities , Puzzles

Using five threes, arithmetic operations and exponentiation, form the numbers from 1 to 39.

#### Arithmetic operations. Number identities , Puzzles

Using five twos, arithmetic operations and exponentiation, form the numbers from 1 to 26.

#### Arithmetic operations. Number identities

Compare the numbers: $A=2011\times 20122012\times 201320132013$ and $B= 2013\times 20112011 \times 201220122012$.

#### Arithmetic operations. Number identities , Puzzles

Pinocchio correctly solved a problem, but stained his notebook.

Under each blot lies the same number, which is not equal to zero. Find this number.

#### Arithmetic operations. Number identities

The number A is positive, B is negative, and C is zero. What is the sign of the number AB + AC + BC?

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