Factoring and Multiples

Oh honey, 84 is just begging to be broken down. In exponential form, you've got 2^2 * 3^1 * 7^1. It's like a math party, and 84 is the guest of honor!

Since 120 is a factor of 600, it is automatically the GCF of this problem.

To determine what number 4, 5, 6, and 8 can all go into, we need to find the highest common factor of these numbers. The highest common factor of 4, 5, 6, and 8 is 1 because these numbers do not share any factors other than 1. Therefore, 4, 5, 6, and 8 can all go into any number without leaving a remainder, as they do not have a common factor greater than 1.

Alright, honey, let's cut to the chase. The Greatest Common Factor (GCF) of 14, 35, and 56 is 7. Why? Because 7 is the largest number that divides evenly into all three of those numbers. So, there you have it, 7 is the magic number in this little math party.

The factors of 5292 are the numbers that can be multiplied together to result in 5292. To find the factors, you can start by dividing 5292 by the smallest prime number, which is 2, and continue dividing by increasing prime numbers until you reach the square root of 5292. The factors of 5292 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 6561, and 10584.

Ah, what a happy little math problem we have here! To find two numbers that multiply together to equal 22, we can think of numbers like 2 and 11, or even 1 and 22. Just like painting a beautiful landscape, there are many possibilities waiting to be discovered! Keep exploring and you'll find the perfect combination.

Well, well, well, look who's trying to be a math whiz! The factor pairs for 34 are 1 and 34, as well as 2 and 17. That's all you need to know, honey. Math doesn't have to be complicated, just like dealing with people.

0.27

960 = 1 x 960, 2 x 480, 3 x 320, 4 x 240, 5 x 192, 6 x 160, 8 x 120, 10 x 96, 12 x 80, 15 x 64, 16 x 60, 20 x 48, 24 x 40, 30 x 32, 32 x 30, 40 x 24, 48 x 20, 60 x 16, 64 x 15, 80 x 12, 96 x 10, 120 x 8, 160 x 6, 192 x 5, 240 x 4, 320 x 3, 480 x 2, 960 x 1

The pair of numbers that have a greatest common factor of 2 are any two even numbers. This is because the greatest common factor of two numbers is the largest number that divides both numbers evenly. Since 2 is the only even prime number, any two even numbers will have 2 as a common factor.

The highest common factor (HCF) of 228 and 285 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm. First, divide the larger number (285) by the smaller number (228) to get a quotient of 1 with a remainder of 57. Then, divide the previous divisor (228) by the remainder (57) to get a quotient of 4 with a remainder of 0. Therefore, the HCF of 228 and 285 is 57.

Well, darling, the highest common factor of 33 and 132 is 33. It's like finding the biggest slice of cake you can share between the two numbers - and in this case, that slice is 33. So, there you have it, the sassy math answer you never knew you needed.

Well, isn't that a happy little math question! To find the Least Common Multiple (LCM) of 2, 10, and 12, we look for the smallest number that all three numbers can divide into evenly. The LCM of 2, 10, and 12 is 60. Just like painting a beautiful landscape, finding the LCM is all about bringing different elements together in harmony.

The factors of 20 are: 1, 2, 4, 5, 10, and 20.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

The factors common to 20 and 24 are: 1, 2, and 4.

The greatest factor common to 20 and 24 is: 4.

Oh, what a happy little math problem we have here! To factorize 6xy - 15y^2, we first look for the greatest common factor, which in this case is 3y. So we can rewrite the expression as 3y(2x - 5y). And just like that, we've created a beautiful factorized expression that brings a sense of harmony and balance to our mathematical canvas.

900

Some common factors that confuse homeowners about attic insulation include understanding the right type of insulation to use, determining the proper amount needed for their specific attic space, and knowing how to properly install and maintain the insulation for maximum effectiveness.

Well, isn't that a happy little math question you've got there! The greatest common factor for 35 and 100 is 5. You see, the greatest common factor is the largest number that divides evenly into both 35 and 100, and in this case, that number is 5. Just like painting, finding the greatest common factor is all about looking for the beautiful harmony between numbers.

Well, isn't that a happy little math problem! Let's see, to find two numbers that multiply together to make 154, we can think about breaking down 154 into its factors. One pair of numbers that works is 11 and 14. Just like painting a beautiful landscape, sometimes all it takes is a little patience and a gentle touch to find the answer you're looking for.

To find two numbers that multiply to 384, we need to factorize 384. The prime factorization of 384 is 2^7 * 3. To find the pair of numbers, we need to pair up these factors in a way that the multiplication of the pairs equals 384. One possible pair is 2^4 * 24, which equals 384. Therefore, the two numbers are 16 and 24.

To find the greatest common factor (GCF) of 18, 24, and 40, we first need to find the factors of each number. The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The largest number that is common among the factors of 18, 24, and 40 is 2, making the GCF of 18, 24, and 40 equal to 2.

See method below:

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

72 Number

120 Number

144 G.C.F

2 3 3 4 3

3 2 1 2 1

5 0 1 0 0

GCF = 2 cubed (2 times 2 times 2)= 8. 8 times 3 = 24

Therefore the HCF of 72 120 and 144 is 24

Use Number sense Write 2 numbers that cannot be divided evenly by 8 or 9.

The Greatest Common Factor of 18, 36, and 45 is 9