happypandas1087
happypandas1087 happypandas1087
  • 23-07-2020
  • Mathematics
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How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?

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gisellemercado93
gisellemercado93 gisellemercado93
  • 23-07-2020
There are 108 integers with 4-digits that are evenly divisible by 5.
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MathPhys
MathPhys MathPhys
  • 23-07-2020

Answer:

100

Step-by-step explanation:

If a number is divisible by 5, then the last digit is either 0 or 5.

Since all the digits are even, the last digit must be 0.

There are 4 options for the first digit (2, 4, 6, 8).

There are 5 options for the second digit (0, 2, 4, 6, 8).

There are 5 options for the third digit (0, 2, 4, 6, 8).

So the total number of numbers is:

4×5×5×1 = 100

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