Factors of the number will also be factors of the number's multiples. Multiples of the number will also be multiples of the number's factors.
The set of multiples of 12.
Factor is a number that can be multiplied with a particular number to obtain another number. Conversely, multiples are the product, which is reached after multiplying the number by an integer. The number of factors of a particular number is limited, but the number of multiples of a given number is endless.
There are 500 multiples of 12 in that range.
Take the multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, etc. Now, eliminate every fourth number in the sequence (the multiples of 4). The remaining numbers will be multiples of 3, but not of 4.
To find all multiples of 3 and 4, we need to find the numbers that are divisible by both 3 and 4. The multiples of 3 are 3, 6, 9, 12, 15, 18, and so on. The multiples of 4 are 4, 8, 12, 16, 20, and so on. The common multiples of 3 and 4 are numbers that appear in both lists, such as 12. Therefore, the multiples of 3 and 4 are numbers that can be divided evenly by both 3 and 4, such as 12, 24, 36, and so on.
12 is the Lowest Common Multiple
Factors of the number will also be factors of the number's multiples. Multiples of the number will also be multiples of the number's factors.
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
4
4 and 6 are multiples of both the numbers 1 and 2.
They are all even and multiples of 12, which is the lowest common multiple of 3 and 4.
The set of multiples of 12.
Multiples are the results when we multiply a number by an integer. For instance: We have number 3. If we multiply 3 by 1,2,3,4,5,6,...,n, the results would be 3,6,9,12,15,18,...,n which are the multiples of 3. Least Common Multiple is the smallest number common to two or more numbers. For instance: We have 3 and 4 as our given numbers. The multiples of 3 are 3,6,9,12,15,18,21,24,...,n while the multiples of 4 are 4,8,12,16,20,24,...,n. As we can see, the common multiples are 12 and 24... The least is 12. Therefore, the LCM of 3 and 4 is 12.
There are an infinite number of multiples of any number. Therefore, it is impossible to list all the multiples of 3 and 4. A list of the first 10 multiples: Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
A common multiple of 3 and 4 is a number which is a multiple of 3 and of 4. The first 3 common multiples of 3 and 4 are 12, 24, 36
Factor is a number that can be multiplied with a particular number to obtain another number. Conversely, multiples are the product, which is reached after multiplying the number by an integer. The number of factors of a particular number is limited, but the number of multiples of a given number is endless.