Factoring and Multiples

Well, isn't that just a happy little question! To find the greatest common factor of 126 and 252, we can list the factors of each number and see which is the largest one they have in common. The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126, and the factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. The greatest common factor of 126 and 252 is 126, which means they both can be divided evenly by 126.

Oh, dude, you're hitting me with some math now? Like, okay, so if you're looking for the times something equals 576, it could be like 24 times 24 or 48 times 12. I mean, there are probably more combos, but who's got time for that? Just use a calculator, man.

The multiples of 12 are numbers that can be divided evenly by 12. The multiples of 12 up to 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, and 120. These numbers are obtained by multiplying 12 by consecutive whole numbers starting from 1 up to 10.

Well, honey, the lowest common factor of 60 and 400 is 20. It's like finding the least annoying song on the radio - not too difficult if you know what you're doing. So there you have it, 20 is the magic number that both 60 and 400 can agree on.

The two numbers that can be multiplied to get 104 are 8 and 13. This is because 8 multiplied by 13 equals 104. These two numbers are factors of 104, as they evenly divide into 104 without leaving a remainder.

The greatest common factor of 35, 49, and 84 is 7.

The GCF of 35, 49, and 84 is 7.

The prime factorization of 35 is 5*7.

The prime factorization of 49 is 7*7

The prime factorization of 84 is 2*2*3*7

The GCF of 35, 49, and 84 is thus 7.

Oh, hello there! Vorarephilia is a unique interest that some individuals have, much like how some people enjoy painting landscapes while others prefer portraits. It's not as common as other interests, but everyone is different and that's what makes the world such a beautiful place. Embrace what makes you happy, my friend, and paint your own path with joy and kindness.

Multiples of 9 that are factors of 36 include 9 and 18. A multiple of a number is any number that can be divided by that number without leaving a remainder. A factor of a number is a number that divides the original number without leaving a remainder. In this case, 9 and 18 are both multiples of 9 and factors of 36 because they can be divided evenly into 36.

Oh, what a lovely question! Finding the Highest Common Factor (HCF) is like finding the common thread that ties these numbers together. If we look at 36, 42, and 54, we can see that the largest number that divides them all evenly is 6. So, the HCF for 36, 42, and 54 is 6. Just like how different colors blend together to create a beautiful painting, these numbers come together harmoniously with 6 as their HCF.

The least common multiple (LCM) of 2, 5, and 9 is the smallest multiple that all three numbers share. To find the LCM, you can first find the prime factorization of each number: 2 = 2, 5 = 5, and 9 = 3 x 3. Then, identify the highest power of each prime factor that appears in any of the numbers: 2 x 3 x 3 x 5 = 90. Therefore, the LCM of 2, 5, and 9 is 90.

The greatest common factor of 15 18 and 24 is 3.

The GCF is 3.

The factor monomial for 30x^2y is the simplest expression that can be factored out from the given monomial. In this case, the factor monomial is 10xy, which is obtained by finding the greatest common factor of the coefficients and variables in the expression. This factor monomial represents the common terms shared by all parts of the original monomial, making it easier to work with in algebraic expressions.

45 as 15x3 or 9x5
also then 90 135 180 225 270 315 360
and so on

.01, .02, .04, .06, .12, .24

Well, honey, you add up the digits of 42 (which gives you 4+2=6) and if that sum is divisible by 3, then the original number is also divisible by 3. In this case, 6 is divisible by 3, so yes, 42 is divisible by 3. Math can be fun when you know the tricks!

Oh, what a happy little math problem we have here! Let's think about this together. The numbers that multiply to 20 and add up to -10 are -2 and -8. When you multiply them, you get 20, and when you add them, you get -10. Isn't that just a lovely solution? Happy math-ing, my friend!

HCF(60, 108) = 12

Ieast common multiple of 4,10,3

Well, isn't that a happy little question! To find the Least Common Multiple (LCM) of 288 and 39, we can first find the prime factorization of each number. Then, we can multiply the highest power of each prime factor to get the LCM. It's like mixing different colors on your palette to create a beautiful new shade!

To find two numbers that multiply to 1890, we can start by finding the prime factorization of 1890. 1890 can be expressed as 2 x 3 x 3 x 3 x 5 x 7. From this, we can see that 30 x 63 equals 1890. Therefore, the two numbers that multiply to 1890 are 30 and 63.

Well, isn't that a happy little question! To find the least common multiple of 2, 6, and 7, we first need to find the prime factors of each number. Then, we can multiply together the highest power of all the prime factors to get the least common multiple. Just like painting a beautiful landscape, it may take some time and patience, but the end result will be worth it!

The LCM (Least Common Multiple) of 25 and 30 is the smallest number that is a multiple of both 25 and 30. To find the LCM, we first need to find the prime factorization of each number: 25 = 5^2 and 30 = 2 * 3 * 5. Then, we take the highest power of each prime factor that appears in either number: 2^1 * 3^1 * 5^2 = 150. Therefore, the LCM of 25 and 30 is 150.

Oh, what a happy little question! To find the multiples of 4 from 1 to 4000, we simply need to count by 4s. So, starting with 4, then 8, 12, 16, and so on until we reach 4000. Just like painting a peaceful landscape, take it one step at a time and enjoy the process.

Since 3y2 can evenly divide 24y3, 3y2 must be the greatest common factor, since the greatest common factor cannot be larger than the smaller of the two numbers.

But, we can also look at a factorization of both numbers.

We can tell that 3y2 = 3 x y2.

We can tell that 24y3 = 3 x 8 x y3 = 3 x 23 x y2 x y.

These numbers have in common 3 and y2, so 3y2 is the greatest common factor.