Q: All the multiples of 9 from 1 to 100?

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9,18,27,36,45,54,63,72,81,90,99

I don't know about "magic" in this context. Multiples are the number 9, multiplied by an integer, for example: 0 x 9 = 0 1 x 9 = 9 2 x 9 = 18 etc. If you just keep adding 9 at a time, you will get all the multiples.

Assuming you mean that you want the number of multiples of each, then for 1-100: number of multiples of 2 = 50 number of multiples of 3 = 33 number of multiples of 4 = 25 number of multiples of 6 = 16 number of multiples of 8 = 12 number of multiples of 9 = 11 Assuming you mean that you want the numbers that are multiples of 2, 3, 4, 6, 8 or 9, then some numbers may be multiples of more than one (for example 12 is a multiple of 2, 3, 4 and 6) and so a straight addition of the number of multiples of each cannot be done: Consider 2, 4 and 8 Every multiple of 4 or 8 is also a multiple of 2, so all the multiples of 4 and 8 are counted by the multiples of 2. Consider 3 and 9 Every multiple of 9 is also a multiple of 3, so all the multiples of 9 are counted by the multiple of 3 Consider 2, 3 and 6. Every multiple of 6 is an even multiple of 3, so are counted in both the multiples of 2 and 3. So the total number of multiples of 2, 3, 4, 6, 8 or 9 is the number of multiples of 2 plus the number of multiples of 3 minus the number of multiples of 6: For 1 to 100, Number of multiples of 2 = 50 Number of multiples of 3 = 33 Number of multiples of 6 = 16 So number of multiples of 2, 3, 4, 6, 8 or 9 in 1-100 is 50+33-16 = 67. Assuming you mean that they are multiples of all of 2, 3, 4, 6, 8 and 9, then they must be multiples of the lowest common multiple of 2, 3, 4, 6 ,8, 9 2 = 21, 3 = 31, 4 = 22, 6 = 2131, 8 = 23, 9 = 32 LCM = highest power of the primes used = 2332 = 72 Thus all numbers that are multiples of 2, 3, 4, 6, 8 and 9 are multiples of 72, which means between 1 and 100 only 1 number is a multiple of all of them, namely 72

There are six: 9, 27, 45, 63, 81,99

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99 so there is 11 multiples.

Related questions

90 that is all

Just 90.

the common multiples between 1 and 100 for 9 and 10 are just 90!

I presume you mean what are all the multiples of 9 up to 100 (and not what are all the multiples of 9, 10, 11, ..., 100 of which there are infinitely many): 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.

9,18,27,36,45,54,63,72,81,90,99

I don't know about "magic" in this context. Multiples are the number 9, multiplied by an integer, for example: 0 x 9 = 0 1 x 9 = 9 2 x 9 = 18 etc. If you just keep adding 9 at a time, you will get all the multiples.

36 and 72

11

Multiples of 9 up to 100 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99. Multiples of 10 up to 100 are 10, 20, 30, 40, 50, 60, 70, 80. 90, 100. The only common multiple up to 100 of 9 and 10 is 90.

90

just 90

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99