Did you know that 2520 is the smallest number exactly divisible by all integers from 1 to 10.

The aim of this challenge is to write a python script to work out this number from its definition.

Note that **a number ( a) is exaclty divisible (whole division) by another number (b) if the remainder of divising a per b is equal to 0.**

In pseudo code:

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a = INPUT("Type a whole number (integer)") a = INPUT("Type another whole number (integer)") IF (a MOD b) == 0 THEN OUTPUT(a + " is exactly divisible by " + b) ELSE OUTPUT(a + " is not exactly divisible by " + b) END IF |

In Python the **MOD operator (remainder) is %**.

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a = int(input("Type a whole number (integer)")) b = int(input("Type another whole number (integer)")) if (a % b) == 0: print(str(a) + " is exactly divisible by " + str(b)) else: print(str(a) + " is not exactly divisible by " + str(b)) |

We are going to use this operator in our code to find out the smallest number exactly divisible by all integers from 1 to 10.

Note that we know, per definition, that this number will have to be greater or equal to 10. So, using an **iterative approach** (in this case, a **while loop**) we will test every number from 10, one at a time up until we find a number that is divisible by all the numbers from 1 to 10.

#### Flowchart

Here is the flowchart of our algorithm:

#### Python Code

You can use the above flowchart to recreate the Python code in the trinket window below: