To find 4-digit multiples of 9, we need to start by determining the smallest 4-digit number divisible by 9, which is 1008 (9 x 112). The next multiple would be 1017 (9 x 113), followed by 1026 (9 x 114), and so on, increasing by increments of 9. Therefore, the 4-digit multiples of 9 range from 1008 to 9999.
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Oh, let's paint a happy little picture with multiples of 9! If we start with 1000 and add 9 each time, we get 1008, 1017, 1026, and so on. Each of these numbers is a beautiful 4-digit multiple of 9, bringing joy and harmony to our mathematical canvas. Remember, there are countless possibilities in this magical world of numbers!
Well, honey, multiples of 9 are numbers that can be divided by 9 without leaving a remainder. So, if you're looking for 4-digit multiples of 9, you can start with 1008 and keep adding 9 until you hit the 4-digit mark. That's all there is to it, darlin'.
The common multiples of 4 and 9 are 36, 72, 108 and so on.
There are 5 multiples of 9. There are 4 multiples of 12. There is 1 number that is a multiple of both, 36.
There are 16 4-digit numbers that can be made up from 9 and 6.
The unit digit of 3127173 is the unit digit of 7173. The other digits of 3127 are multiples of 10 and so they cannot contribute to the unit digit. Now the unit digits of the powers of 7 are Power -- Unit digit 0 -- 1 1 -- 7 2 -- 9 3 -- 3 4 -- 1 and you are back into the loop (of 1-7-9-3). So, you only need consider 7 to the power 173 modulo 4. That is, the remainder when 173 is divided by 4. 173 = 1 mod 4 So the unit digit of 3127173 is the same as the unit digit of 7173 which is the unit digit of 71 which is 7.
To find a common multiple of 3 and 4 that totals 9 less than 50, we first need to list out the multiples of 3 and 4. Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, and multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. The common multiples are numbers that appear in both lists. The common multiple that totals 9 less than 50 is 36.