Factoring and Multiples

To find the greatest common factor (GCF) of 56, 78, and 130, we first need to find the prime factors of each number. The prime factors of 56 are 2 x 2 x 2 x 7, the prime factors of 78 are 2 x 3 x 13, and the prime factors of 130 are 2 x 5 x 13. To find the GCF, we look for the common prime factors among the numbers, which are 2 and 13. Therefore, the GCF of 56, 78, and 130 is 2 x 13 = 26.

Oh, dude, the greatest common factor of those numbers is like the biggest number that can divide all of them without leaving a remainder. So, you just gotta find the factors of each number and see which one they all have in common. It's like a math puzzle, but not as fun as a jigsaw puzzle. So, the greatest common factor of 84, 126, 294, and 462 is 42.

1 + 2 + 4 = 7

(1 x 8) + (2 x 8) = (1 + 2) x 8

= 3 x 8

= 24

2, remainder 26

To solve this equation, we first need to find 1/2 of 12, which is 6. Then, we need to find 1/4 of a number that equals 6. To do this, we multiply 6 by 4, which equals 24. Therefore, 1/2 of 12 is equal to 1/4 of 24.

The LCM is: 504

Surveying and land use jobs which use a map to scale. Also construction jobs will use plans of the building which are drawn to scale with a stated scale factor.

Oh, dude, the least common multiple of 6 and 9 is like the smallest number that both 6 and 9 can divide into evenly. So, you just gotta find the smallest number that both 6 and 9 can fit into without leaving any remainders. It's like the chill number that keeps everyone happy, man. And that number is 18, bro.

1 x 100, 2 x 50, 4 x 25, 5 x 20, 10 x 10, 20 x 5, 25 x 4, 50 x 2, 100 x 1

To find the highest common factor (HCF) of 84, 154, and 182, we need to determine the largest number that can evenly divide all three numbers.

The prime factorization of 84 is 2^2 * 3 * 7, 154 is 2 * 7 * 11, and 182 is 2 * 7 * 13.

To find the HCF, we identify the common prime factors among the three numbers, which are 2 and 7. Multiplying these common factors gives us the HCF: 2 * 7 = 14.

Therefore, the highest common factor of 84, 154, and 182 is 14.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 80, 90, and 110 is 10.

Well, isn't that a happy little math question! Let's see, we can break down 206 into its factors: 1, 2, 103, and 206. So, 2 times 103 equals 206. Just like painting, sometimes we need to look at things from a different perspective to see the beauty in the solution.

To find the greatest common divisor (GCD) of 120 and 270, we first list the factors of each number. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 54, 90, and 270. The common factors are 1, 2, 3, 5, 6, 10, 15, and 30. The greatest common divisor of 120 and 270 is 30.

The GCF of 24, 30 and 36 is the largest integer which can divide all three of these numbers without remainder. In other words it is the largest number that is a factor of each of the three numbers.

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 40 are 2, 2, 2, and 5.

The prime factors of 54 are 2, 3, 3, and 3.

The prime factors in common are a single 2, so the greatest common factor is 2.

The GCF of 3 and 6 is 3.
The GCF of 3x and 6 is 3.
If that's 3x + 6, it factors to 3(x + 2)

The factors of 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The factors of 210 are:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The factors of 700 are:

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The factors of 30210 are:

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 53, 57, 95, 106, 114, 159, 190, 265, 285, 318, 530, 570, 795, 1007, 1590, 2014, 3021, 5035, 6042, 10070, 15105, 30210

Oh, what a happy little question we have here! To find the factors of 18xy, we need to break it down into its smallest parts. The factors of 18 are 1, 2, 3, 6, 9, and 18, while the factors of x and y are just x and y themselves. So, the factors of 18xy are 1, 2, 3, 6, 9, 18, x, y, 2x, 3x, 6x, 9x, 18x, xy, 2y, 3y, 6y, 9y, and 18y.

729×1

Oh, what a happy little question! The number that has factors of both 12346 and 12 is 12346, as it includes both sets of factors. It's like mixing different colors on your palette to create a beautiful painting - each number brings its own unique contribution to the final result. Just remember, there are no mistakes in math, only happy little accidents!

To find the Greatest Common Factor (GCF) of 32 and 90, we need to determine the largest number that divides both 32 and 90 without leaving a remainder. The prime factorization of 32 is 2^5, and the prime factorization of 90 is 2 * 3^2 * 5. To find the GCF, we look for the common prime factors in both numbers, which are 2. Therefore, the GCF of 32 and 90 is 2.

Well, darling, the greatest common factor of 32 and 9 is 1. Those two numbers don't have any common factors other than 1 because they're as different as night and day. So, there you have it - the sassy truth!

There are some multiples of 15 from 15 to 500! Here it is...

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495