Factoring and Multiples

Alright, buckle up, buttercup. The highest common factor of 91, 143, and 156 is 13. That's right, 13 is the biggest number that can divide evenly into all three of those numbers. So, there you have it, 13 is the boss in this HCF showdown.

Well, honey, the highest common factor (HCF) of 39, 143, and 169 is 13. There you have it, no need for any fancy footwork or beating around the bush. Just straight to the point like a boss.

The greatest common factor (GCF) of 19 and 13 is 1. This is because 19 and 13 are both prime numbers, meaning they are only divisible by 1 and themselves. Since there are no other common factors between 19 and 13 besides 1, the GCF is 1.

The factor tree of 29 would consist of only the number 29 itself, as it is a prime number. Prime numbers have only two factors: 1 and the number itself. Therefore, the factor tree for 29 would simply show 29 at the top with no further branches or factors.

0.4219

They are members of the infinite set of numbers of the form 24*k where k is an integer. Since the set is infinite, it is not possible to list them.

Oh, dude, the greatest common factor of 315 and -525 is 105. It's like finding the biggest number that can divide both of them without any remainders. So, yeah, 105 is the winner here, but don't worry, the other numbers aren't too jealous.

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The common multiples of 3 and 4 are numbers that can be divided evenly by both 3 and 4. To find the common multiples, you can list out the multiples of each number and find where they intersect. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, and so on, while the multiples of 4 are 4, 8, 12, 16, 20, 24, and so on. The common multiples of 3 and 4 are numbers that appear in both lists, such as 12, 24, 36, and so forth.

The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 11 and 42, we need to identify the factors of each number. The factors of 11 are 1 and 11, while the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The only common factor between 11 and 42 is 1, making the GCF of 11 and 42 equal to 1.

The multiples of 27 are numbers that can be evenly divided by 27 without leaving a remainder. These multiples include 27, 54, 81, 108, 135, and so on. To find the multiples of 27, you can simply multiply 27 by integers starting from 1.

To find the factor tree of 89, we start by dividing 89 by its smallest prime factor, which is 89 itself. This means 89 is a prime number and cannot be factored further. Therefore, the factor tree of 89 consists of only one prime factor, which is 89.

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

Diagonal = 24*sqrt(2) = 34 units, approx.

gcf of 15 30 and 60 is 15.

The numbers that are both multiples of 4 and factors of 24 are 4, 8, and 24. This is because a multiple of 4 is any number that can be divided by 4 without leaving a remainder, and a factor of 24 is a number that divides evenly into 24. Therefore, the numbers 4, 8, and 24 meet both criteria as they are multiples of 4 and factors of 24.

To determine which times tables go into 385, we need to find the factors of 385. The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385. These numbers represent the times tables that can evenly divide into 385 without leaving a remainder.

To write 72 as a product of prime factors in exponential form, we first break down 72 into its prime factors: 72 = 2 x 2 x 2 x 3 x 3. Then, we can rewrite this as 72 = 2^3 x 3^2 in exponential form.

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Oh honey, a factor tree is like a family tree for numbers. You start with the number on top and then branch out into its factors, breaking it down into smaller numbers until you can't break it down anymore. It's like a math version of "Who's Your Daddy?" for numbers.

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The multiples of 11 from 1 to 100 are numbers that can be divided evenly by 11. They include 11, 22, 33, 44, 55, 66, 77, 88, and 99. These numbers are obtained by multiplying 11 by integers starting from 1 up to 9.

Well, darling, the highest common factor of 39, 91, and 169 is 13. It's like finding the perfect little black dress that fits all three numbers like a glove. So, there you have it, the sassy math queen has spoken.

Oh, isn't that just lovely! To find the common multiples of 2, 5, and 9, we can start by listing the multiples of each number. For 2, we have 2, 4, 6, 8, 10, and so on. For 5, we have 5, 10, 15, 20, and so forth. And for 9, we have 9, 18, 27, 36, and on it goes. The common multiples are the numbers that appear in the list of multiples for all three numbers, such as 90 and 180. Just like painting a happy little tree, finding common multiples can be a peaceful and joyful process.

The least common multiple (LCM) of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM of 7 and 49 is 49 because it is the smallest multiple of 7 that is also a multiple of 49. This is because 49 is a multiple of 7 (7 x 7 = 49), so it is the smallest number that satisfies both conditions.

Oh, that's a happy little math question! To find the highest common factor of 120 and 405, we can first list the factors of each number. For 120, the factors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. For 405, the factors are 1, 3, 5, 9, 15, 27, 45, 81, and 405. The highest common factor is 15, which is the largest number that both 120 and 405 can be divided by evenly.