What is the prime factor of 12 and 26?

Prime factors are the smaller prime numbers that when multiplied together give us a composite number. Let's find the prime factors of 12 and 26.

To find the prime factors of a number, we divide it by the smallest prime numbers and continue dividing until we can't divide it anymore.

Let's start with 12. We know that 2 is the smallest prime number. So, we divide 12 by 2:

12 ÷ 2 = 6

Now, we divide 6 by 2 again:

6 ÷ 2 = 3

We can't divide 3 any further because it is a prime number. Therefore, the prime factors of 12 are 2 and 3.

Now, let's find the prime factors of 26. Again, we start with the smallest prime number, which is 2:

26 ÷ 2 = 13

13 is a prime number, so the prime factors of 26 are 2 and 13.

Therefore, the prime factors of 12 are 2 and 3, and the prime factors of 26 are 2 and 13.

What is the prime factor of 26?

What are the prime factors of 26? To answer this question, we need to understand what prime factors are. Prime factors are the prime numbers that divide a given number evenly without leaving a remainder.

So, let's find the prime factors of 26. Firstly, we need to determine if 26 itself is a prime number. To do this, we can check if it's divisible by any prime numbers less than its square root. In this case, 26 is not a prime number since it can be divided evenly by 2.

Therefore, the first prime factor of 26 is 2. Now, we need to find the next prime factor. To do this, we divide 26 by 2, resulting in 13. Since 13 is a prime number and cannot be divided further, the prime factors of 26 are 2 and 13.

So, the prime factors of 26 are 2 and 13. These prime factors are the two distinct prime numbers that, when multiplied together, give us the original number 26. By factoring a number into its prime factors, we can better understand its mathematical properties and relationships with other numbers.

What are the prime factors of 12?

When we talk about prime factors, we refer to the smaller numbers that can divide another number without leaving a remainder. In the case of 12, its prime factors are 2, 3, and 6.

In other words, 2 multiplied by 2 gives us 4, and 4 multiplied by 3 gives us 12. Therefore, 2 and 3 are the prime factors of 12.

Another way to find the prime factors of 12 is by dividing it by prime numbers 2 and 3. If we divide 12 by 2, we get 6. Then, if we divide 6 by 2, we get 3. Since 3 is a prime number, we stop here. This process gives us the prime factors of 12, which are 2 and 3.

It is important to note that prime factors are unique and cannot be further simplified.

Knowing the prime factors of a number is useful in various mathematical computations, such as finding the greatest common divisor or simplifying fractions.

To summarize, the prime factors of 12 are 2 and 3. These prime factors cannot be further simplified and are essential in various mathematical calculations.

What are the common multiples of 12 and 26?

When finding the common multiples of two numbers, we are looking for the numbers that can be evenly divided by both numbers. In this case, we have 12 and 26.

12 can be multiplied by 1, 2, 3, 4, 6, and 12 to get its multiples: 12, 24, 36, 48, 72, and 144.

26 can be multiplied by 1, 2, 13, and 26 to get its multiples: 26, 52, 338, and 676.

Now, let's compare the multiples of 12 and 26 to find the common ones. From the list above, the common multiples are 26 and 52.

26 is a multiple of both 12 and 26, while 52 is a multiple of 26. Therefore, these are the common multiples of 12 and 26.

In conclusion, the common multiples of 12 and 26 are 26 and 52.

What is the prime factor of 12 and 24?

What is the prime factor of 12 and 24?

Prime factors are the prime numbers that divide a given number without leaving any remainder. To find the prime factors of 12 and 24, we need to determine the prime numbers that divide each of these numbers.

Let's start with 12:

12 can be broken down into its factors as 2 * 2 * 3. Both 2 and 3 are prime numbers as they cannot be divided by any other number except for 1 and themselves. So, the prime factors of 12 are 2 and 3.

Now, let's move on to 24:

24 can be broken down into its factors as 2 * 2 * 2 * 3. Similar to before, both 2 and 3 are prime numbers as they cannot be divided by any other number except for 1 and themselves. So, the prime factors of 24 are 2 and 3.

In summary, the prime factor of 12 is 2 and 3, and the prime factor of 24 is also 2 and 3.