When trying to find the common multiples of two numbers, it is important to consider the multiples of each number separately and then identify the numbers that appear in the multiples of both 3 and 5.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, and so on.
The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, and so on.
Now, we need to identify the common multiples from the lists mentioned above. The numbers that can be found in both lists are 15, 30, 45, and 60.
Therefore, the 6 common multiples of 3 and 5 are 15, 30, 45, 60, 75, and 90.
These are the numbers that are divisible by both 3 and 5 simultaneously, and they represent the common multiples.
What are the six common multiples of 3 and 5? When two numbers have common multiples, it means that there are numbers that are divisible by both of them. In this case, we are looking for multiples that are divisible by both 3 and 5. To find the common multiples, we can start by listing the multiples of each number and then find the numbers that appear in both lists. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, and so on. The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, and so on. From these lists, we can see that both 15 and 30 are multiples of both 3 and 5. These are the first two common multiples. Continuing the list, we find that the next common multiple is 45. This is the third common multiple. Moving forward, we reach the number 60 which is the fourth common multiple. The fifth common multiple is 75. Finally, the sixth common multiple is 90. Therefore, the six common multiples of 3 and 5 are 15, 30, 45, 60, 75, and 90.
When it comes to finding the common multiple of two numbers, it is essential to understand what a multiple is. A multiple is a result of multiplying two whole numbers together. In this case, we want to find the common multiple of 5 and 3.
In order to find the common multiple, we need to list the multiples of each number and find the smallest common multiple they have in common.
The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ....
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ....
Looking at the lists, we can see that the smallest common multiple of 5 and 3 is 15. Therefore, 15 is the common multiple of 5 and 3.
It is important to note that there are infinite common multiples of any two numbers. This means that we could continue listing multiples and find additional common multiples of 5 and 3.
Now that we know the common multiple of 5 and 3 is 15, we can use this information in various mathematical applications. For example, if we have two situations where events repeat every 5 and 3 units of time, we can conclude that the events will coincide at every 15 units of time.
The multiples of 3 and 5 are the numbers that can be evenly divided by either 3 or 5.
To find the multiples, we start with the smallest common multiple of 3 and 5, which is 15. This means that any multiple of 15 is also a multiple of both 3 and 5.
One way to find the multiples of 3 and 5 is by using a multiplication table:
Multiples of 3: | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... |
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Multiples of 5: | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... |
From the table, we can see that 15, 30, 45, and so on, are the multiples of both 3 and 5.
Another way to find the multiples is by using a formula:
If we want to find the multiples of a number, we can multiply that number with whole numbers starting from 1. So, for the multiples of 3, we can use the formula 3n, where n represents the multiplicity.
Similarly, for the multiples of 5, we can use the formula 5n.
Therefore, the multiples of 3 and 5 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, and so on.
In conclusion, the multiples of 3 and 5 are the numbers that can be divided evenly by either 3 or 5. They can be found using a multiplication table or by using the formulas 3n and 5n.
5 and 3 are both single-digit numbers that fall into the category of prime numbers. Prime numbers are those that can only be divided by 1 and themselves without yielding any remainder.
Additionally, 5 and 3 are both odd numbers. Odd numbers are integers that cannot be divided evenly into two equal parts.
5 and 3 are also consecutive numbers. Consecutive numbers are defined as numbers that follow in regular order with no gaps.
Moreover, both 5 and 3 have a square root that is not a whole number. The square root of 5 is approximately 2.236 and the square root of 3 is approximately 1.732.