In order to determine the highest common factor of 4 and 6, we first need to determine the factors of each number.
The factors of 4 are 1, 2, and 4.
The factors of 6 are 1, 2, 3, and 6.
In order to find the highest common factor of 4 and 6, we need to find the largest factor that is common to both. In this case, that factor is 2.
Therefore, the highest common factor of 4 and 6 is 2.
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What is the first 4 multiples of 6?
The first 4 multiples of 6 can be easily found by multiplying 6 by the first four counting numbers: 1, 2, 3, and 4. Multiplying 6 by 1 gives us the first multiple of 6, which is simply 6. Similarly, multiplying 6 by 2 gives us the second multiple of 6, which is 12. Continuing in this way, we can find the third multiple of 6 by multiplying 6 by 3, resulting in 18.
Finally, we can find the fourth multiple of 6 by multiplying 6 by 4, which gives us 24. Therefore, the first four multiples of 6 are 6, 12, 18, and 24. These multiples can be useful in various mathematical calculations, such as finding common factors of numbers or calculating equivalent fractions.
Is 72 a common multiple of 4 and 6?
To determine whether 72 is a common multiple of 4 and 6, we need to first understand what a common multiple is. A multiple of a number is the product of that number and an integer (positive, negative or zero). For instance, the multiples of 4 include 4, 8, 12, 16, 20, and so on, and the multiples of 6 include 6, 12, 18, 24, 30, and so on.
As such, a common multiple of two or more numbers is a number that is a multiple of each of those numbers.
To find the common multiples of 4 and 6, we can list the multiples of both numbers and identify the numbers that appear in both lists. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, and so on. The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, and so on.
Looking at the lists, we can see that 72 appears in both the list of multiples of 4 and the list of multiples of 6. Therefore, we can conclude that 72 is a common multiple of 4 and 6.
However, the question specifically asks whether 72 is a common “common” multiple of 4 and 6, which implies that 72 may not be the only common multiple of these two numbers. Indeed, there are many other numbers that are common multiples of 4 and 6, such as 24, 48, 96, and so on. These numbers also appear in the lists of multiples we generated earlier.
Yes, 72 is a common multiple of 4 and 6. However, it is not the only common multiple, and there are many other numbers that are also common multiples of these two numbers.
What is the difference between 4 and 6?
The difference between 4 and 6 is two. In mathematics, the difference between two numbers is the result of subtracting the smaller number from the larger number. In this case, 6 is the larger number and 4 is the smaller number, and when we subtract 4 from 6, the result is 2. This means that 2 is the difference between 4 and 6.
This concept is important in many areas of mathematics and is frequently used in arithmetic, algebra, and calculus. It is used to represent the amount or magnitude by which one quantity is greater or smaller than another quantity. It is also used to calculate the change or variation between two values.
In real life, the idea of the difference between two numbers is used in a variety of contexts. For example, if we are comparing the temperature today to the temperature yesterday, we might say that the difference between the two temperatures is five degrees. Another example might be calculating the difference in prices of two products at the grocery store to determine which one offers better value.
The difference between 4 and 6 is a mathematical concept representing the result of subtracting the smaller number from the larger number. This concept is used in various fields to compare two quantities and calculate the change or variation between them.
Do 6 and 2 have common factors?
Yes, 6 and 2 have a common factor of 2. A factor is a number that can divide another number without leaving a remainder. Both 6 and 2 can be divided by 2, with 6 divided by 2 giving 3 and 2 divided by 2 giving 1. Therefore, 2 is a common factor of both 6 and 2. In fact, every number has 1 and itself as factors, so 6 and 2 have more common factors such as 1 and 6.
However, the greatest common factor (GCF) of 6 and 2 is 2, which is the highest factor that they have in common. The GCF is important in mathematics, as it is used to simplify fractions and solve equations. Therefore, in this case, the common factor of 6 and 2 is 2, but there are other factors they have in common as well.
How do you find the LCM of 6 and 10?
The LCM of two numbers is the smallest multiple that they have in common. In order to find the LCM of 6 and 10, we will need to find their multiples and then identify the smallest one that they share.
To start, we can list out the multiples of each number until we see one in common. For 6, the first few multiples are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. For 10, the first few multiples are: 10, 20, 30, 40, 50, 60. By looking at these lists, we can see that the smallest multiple that these two numbers share is 30.
Therefore, the LCM of 6 and 10 is 30. This means that 30 is the smallest number that is divisible by both 6 and 10 without leaving a remainder. It is also possible to use a formula to find the LCM of two numbers. This formula involves finding the prime factorization of each number and multiplying the highest powers of each prime factor together.
However, in this case, it was quicker and easier to simply list out the multiples and find the smallest one they have in common.
What is the least number that has both 6 and 10 as factors?
To find the least number that has both 6 and 10 as factors, we need to find their common multiple. To do this, we need to find the smallest number that both 6 and 10 divide into evenly.
First, we need to find the factors of 6:
1, 2, 3, 6
Next, we need to find the factors of 10:
1, 2, 5, 10
Now, we need to look for the smallest number that appears in both lists.
The factors of 6 are 1, 2, 3, and 6. We need to find the multiples of 6 that are also multiples of 10.
Starting with 6:
6 x 1 = 6 is not a multiple of 10
6 x 2 = 12 is not a multiple of 10
6 x 3 = 18 is not a multiple of 10
Now, we move onto 10 and look for multiples of 10 that are also multiples of 6.
Starting with 10:
10 x 1 = 10 is not a multiple of 6
10 x 2 = 20 is a multiple of 6!
Therefore, the least number that has both 6 and 10 as factors is 20.
