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Q: How many multiples of 4 from 1 through 1000 do not contain any of the digits 6 7 8 9 or 0?

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There are 66 of them and I do not intend to go through the list.

Multiples of 25 up to 1000 are: 25;50;75;100;125;150;175;200;225;250;275;300;325;350;375;400;425;450;475; 500;525;550;575;600;625;650;675;700;725;750;775;800;825;850;875;900;925;950;975;1000

There are 2892 digits.

There are nine numbers which contain only one digit. There are 90 numbers which contain two digits. There are 900 numbers which contain three digits. There is one number which contains four digits.Therefore, the number of digits is equal to (9x1)+(90x2)+(900x3)+4 = 2893 digits. If this includes spaces, there would be 999 spaces, therefore there would be 3892 keystrokes.

The multiples of 1,000 are an infinite number of integers in the set that begins 1000, 2000, 3000, 4000, and so on.

Related questions

648

1000

How many strings of three digits are there? 000 to 999, or a total of 1000. How many strings of three digits contain the same three digits? That's 000, 111, 222 ... 999! ten in total. The difference is your answer: 1000-10 = 990.

1000, 1005, 1010 and just keep adding 5 until you get to 9995.

There are 66 of them and I do not intend to go through the list.

All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.

Multiples of 25 up to 1000 are: 25;50;75;100;125;150;175;200;225;250;275;300;325;350;375;400;425;450;475; 500;525;550;575;600;625;650;675;700;725;750;775;800;825;850;875;900;925;950;975;1000

All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.

0

There are 2892 digits.

All the factors of 1000 have an infinite number of multiples.

1100

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