Thread: How many six-digit positive integers are there, which is evenly divisible by 4 or 9?

How many six-digit positive integers are there, which is evenly divisible by 4 or 9?

(If you let A be the amount of six-digit positive integers that are evenly divisible by 4 and B be the amount of six-digit positive integers that are evenly divisible by 9, so you should therefore
determine the number of elements in A ∪ B.
Remember that A and B in this case may not be disjoint sets.)

/Monica

Originally Posted by Monika1987

How many six-digit positive integers are there, which is evenly divisible by 4 or 9?

(If you let A be the amount of six-digit positive integers that are evenly divisible by 4 and B be the amount of six-digit positive integers that are evenly divisible by 9, so you should therefore
determine the number of elements in A ∪ B.
Remember that A and B in this case may not be disjoint sets.)

/Monica

How many such numbers are divisible by 4? How many such numbers are divisible by 9? How many such numbers are divisible by 4*9= 36?

Are we to assume that by "six-digit positive numbers" you mean numbers from 100000 to 999999?

yes. By six-digit number they want to know from 100000-999999 how many numbers there are that is evenly divisible by 4 or 9.
example:
444444 and 999999 is such numbers. so how many between 100000-999999?

Hello, Monika1987!

How many 6x-digit positive integers are there that are evenly divisible by 4 or 9?

There are 900,000 six-digit numbers.

Every 4th number is divisible by 4: . numvbers divisible by 4.

Every 9th number is divisible by 9: . numbers divisible by 9.

But every 36th number is divisible by both 4 and 9: .