Division

Name: Charday
Who is asking: Student
Level: Elementary

Question:
What is the easiest way to calculate the least number that can be divided evenly by all the numbers from 1 to 10.

Hi,

Write the prime factors of each of the numbers 1, 2, 3, ... 10. Now you can use these prime factors to construct the number you want.

	Construction
The only prime factor of 2 is 2 so your number must have 2 as a factor.	2
The only prime factor of 3 is 3 so your number must have 3 as a factor.	2x3 = 6
The prime factors of 4 are 2 and 2 so your number must have two 2's as factors.	2x3x2 = 12
The only prime factor of 5 is 5 so your number must have 5 as a factor.	2x3x2x5 = 60
The prime factors of 6 are 2 and 3. Your number already has a 2 and a 3 as factors so you don't need to make any changes.	2x3x2x5 = 60
The prime factors of 7 are ...

Continue the construction.

Cheers,
Penny