SOLUTION: How many numbers between 1 and 1000 contain all the numbers 2 3,4,5,6 as factors

Algebra.Com
Question 1137959: How many numbers between 1 and 1000 contain all the numbers 2 3,4,5,6
as factors

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The least common multiple of those factors is 60, so the numbers that contain all those numbers as factors are the multiples of 60.

1000/60 = 16 2/3; so there are 16 numbers less than 1000 that contain all of 2, 3, 4, 5, and 6 as factors.

RELATED QUESTIONS

"How many numbers between 1 and 1000 contain a 39?" (answered by JulietG)
A four-digit number is formed from the digits 1, 2, 3, 4, 5, 6, and 7, with no... (answered by robertb)
How many different prime numbers are factors of 1988? (Note: The number 1 is not a... (answered by nerdybill)
How many different prime numbers are factors of 1988? (Note: The number 1 is not a... (answered by ankor@dixie-net.com)
how many numbers are there between 500 and 1000 which are divisible by 2 as well as by 3... (answered by math_helper)
how many whole numbers between 1 and 1,000 do not contain the digit... (answered by MathLover1)
6. An Ontario license plate has 4 letters followed by 3 numbers. Assuming repetition is... (answered by ikleyn)
how many counting numbers between 100 and 1000 have at least one 2 as a... (answered by stanbon)
How many whole numbers between 99 and 999 contain the digit... (answered by ikleyn)