The Greatest Common Factor (GCF) of 12 and 36 is 12. The GCF of two numbers is the largest positive number that divides evenly into both numbers. In this case, 12 is the greatest number that can divide into both 12 and 36 evenly, so the GCF of 12 and 36 is 12.
What is the lowest common multiple of 12 and 36?
The lowest common multiple (LCM) of 12 and 36 is 72. The LCM is the smallest number that is a multiple of both 12 and 36. In order to calculate the LCM, you need to find the prime factors of each number and then multiply them together.
For 12, the prime factors are 2 × 2 × 3 and for 36, the prime factors are 2 × 2 × 3 × 3. When you multiply all the prime factors together, you get 72, which is the lowest common multiple of 12 and 36.
What is the LCM of 12 and 36 using continuous division?
The LCM, or least common multiple, of 12 and 36 can be determined using the continuous division method. To begin, divide the larger number, 36, by the smaller number, 12. The quotient is 3 and the remainder is 0, so the LCM is 36.
To confirm, divide 12 by 36. The quotient is 0 and the remainder is 12, which confirms the LCM of 36. Therefore, the LCM of 12 and 36 using continuous division is 36.
How do you find the GCF?
The greatest common factor (or GCF) of two or more numbers is the largest shared factor that divides all the numbers evenly. To find the greatest common factor, you can use either the prime factorization method or the division method.
Using the prime factorization method, you list out the prime factors of each number separately and then find the greatest common factor. For example, to find the GCF of 24 and 30, we can list the factors individually:
24: 2 x 2 x 2 x 3
30: 2 x 3 x 5
The greatest common factor of 24 and 30 is the 2 x 3, which gives the GCF of 6.
Using the division method, you can divide one number by the other until you get a remainder of 0. You can then use the last number you divided by as the GCF. For example, to find the GCF of 24 and 30, you can divide 30 by 24.
30 / 24 = 1 with 6 remaining. That means the last number you divided by was 6, and so your GCF is 6.
No matter which method you use, the result will be the same. The greatest common factor of two numbers is the largest number that divides each number evenly.
How do I find prime factorization?
Finding the prime factorization of a number involves figuring out which prime numbers multiply together to create the original number. This can be done by trial and error, dividing by a prime number and seeing if there is a remainder, or using a factor tree.
To use a factor tree, start by writing down the number you want to factorize at the top of a sheet of paper. Next, start separating that number into two factors, using the smallest prime number first.
Once you have two numbers, repeat the process until all you are left with are prime numbers. The prime numbers that you are left with at the end are the prime factors of the original number.
For example, to find the prime factorization of 12, start by writing 12 at the top of the page. Then, divide 12 by 2, which leaves you with 6. Now write 6 at the bottom, with 12 above it. 6 can be divided by 2 and 3, so divide it and continue this process until you reach the prime numbers.
This gives you a factor tree that looks like this: 12, 6, 2, 3, and you’re done – the prime factorization of 12 is 2 × 2 × 3.
How do you minus a negative number from a positive number?
When subtracting a negative number from a positive number, you must use the inverse operation of subtraction which is addition. This means that you add the two numbers together to find the difference between them.
For example, if you were subtracting -4 from 7, you would write the equation as 7 + (-4) = 3. This method works because it follows the inverse operations rule which states that two opposite operations cancel out each other.
Hence, subtracting a negative number from a positive number is the same as adding the two numbers together.
