Factoring and Multiples

To find the common factors of 14 and 98, we first list the factors of each number. The factors of 14 are 1, 2, 7, and 14, while the factors of 98 are 1, 2, 7, 14, 49, and 98. The common factors are 1, 2, 7, and 14. To find the sum of these common factors, we add them together: 1 + 2 + 7 + 14 = 24.

1 x 180, 2 x 90, 3 x 60, 4 x 45, 5 x 36, 6 x 30, 9 x 20, 10 x 18, 12 x 15, 15 x 12, 18 x 10, 20 x 9, 30 x 6, 36 x 5, 45 x 4, 60 x 3, 90 x 2, 180 x 1.

The factors of 25 are the numbers that can divide 25 without leaving a remainder. The factors of 25 are 1, 5, and 25. When listing factors from least to greatest, you would start with 1, then move on to the next smallest factor, which is 5, and finally list 25, as it is the largest factor of 25.

To create a factor rainbow for the number 72, you would first identify all the factors of 72. The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. To create the factor rainbow, you would typically arrange these factors in a way that shows their relationships, such as in a visual diagram with lines connecting related factors. This can help visualize the prime factorization of 72 as well as how the factors are interconnected.

Well, honey, 104 is a multiple of 13 because 104 divided by 13 equals 8 with no remainder. However, it's not a multiple of 14 because when you divide 104 by 14, you get 7 with a remainder of 6. So, in short, 104 is only a multiple of 13, not 14. Hope that clears things up for ya!

Find the Greatest Common Factor in 7x-63. The GCF is 7 so 7 gets placed first and outside of the parentheses such as 7( ) now...what does that leave behind, it leaves behind an 'x' and -63. Can 7 go into x? No. Can 7 go into 63? Yes! 9 times! Now you continue filling in the parentheses. Since x didn't go into the 7, you simply place the x on the left side (inside the parentheses) and the -9 on the right side (inside the parentheses) For Example.... 7(x-9). That's all there is to it!

The first ten multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30. Multiples are numbers that can be divided evenly by a given number, in this case, 3. Each subsequent multiple is found by adding 3 to the previous multiple.

The least common multiple of 3, 7, and 11 is 231.

To find the greatest common factor of 260 and 195, we need to find the factors of each number. The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260. The factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195. The greatest common factor of 260 and 195 is 65, as it is the largest number that divides both 260 and 195 without leaving a remainder.

Well, isn't that just a happy little math question? The highest common factor of 12 and 42 is 6. You see, the highest common factor is the largest number that can divide evenly into both 12 and 42, and in this case, that number is 6. Just like adding a touch of titanium white to your painting, finding the highest common factor can bring clarity and harmony to your math problems.

The number 44 can be divided evenly by 1, 2, 4, 11, 22, and 44. These numbers are factors of 44 because they divide evenly into 44 without leaving a remainder. Factors are numbers that can be multiplied together to get the original number, in this case, 44.

To find the greatest common factor (GCF) of 24, 42, and 48, we first need to find the factors of each number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The GCF of 24, 42, and 48 is 6, as it is the largest number that divides all three numbers without leaving a remainder.

The lowest common factor of two numbers is the smallest positive integer that both numbers can be divided by without leaving a remainder. In this case, the factors of 3 are 1 and 3, while the factors of 4 are 1, 2, and 4. The lowest common factor of 3 and 4 is 1, as it is the only factor that both numbers share.

21/24 and 20/24

1, 2, 4 and 8 are their only common factors.

Oh, dude, of course! A composite number is just a number that can be broken down into smaller numbers, like a Lego set. And prime factors are the prime numbers that multiply together to give you that composite number. So, like, yeah, you can totally factor a composite number into prime factors. It's like breaking down a complicated recipe into its basic ingredients.

Well, isn't that just a happy little fraction we have here! To simplify 8 over 20, we can divide the top and bottom by 4 since they both have a common factor. So, 8 divided by 4 is 2, and 20 divided by 4 is 5. Therefore, 8 over 20 simplifies to 2 over 5. Just like that, we've created a beautiful, simplified fraction!

Oh, dude, the least common multiple of 22 and 48 is 264. It's like when you're trying to find a parking spot at the mall during the holidays - you gotta drive around a bit to find the perfect fit. So, 264 is the magical number where both 22 and 48 can peacefully coexist without any drama.