Factoring and Multiples

Well, isn't that a happy little math problem! The greatest common factor of 32 and 52 is 4. You see, you can break down both numbers into their prime factors - 32 is 2 x 2 x 2 x 2 x 2, and 52 is 2 x 2 x 13. Then, you look for the common factors they share, and the greatest one is 2 x 2 which equals 4. Happy calculating!

876

32 has 6 factors, namely: 1, 2, 4, 8, 16, 32

Well, isn't that just a happy little math problem! To find out what times 4 equals 184, all you have to do is divide 184 by 4. When you do that, you'll find that the answer is 46. Just like that, you've solved the mystery and created a beautiful mathematical masterpiece!

To find the factor tree of 512, we start by dividing 512 by its smallest prime factor, which is 2. This gives us 2 * 256. We continue this process with 256, which is 2 * 128, then 2 * 64, and so on until we reach the prime factors. The factor tree for 512 would look like this: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2.

Well, honey, you can divide 22 by any whole number that it's divisible by. That means you can divide it by 1, 2, 11, or 22. But if you're looking for a fraction or decimal, well, tough luck, 22 ain't gonna play nice with those.

To find two numbers that multiply to 9800, we need to factorize 9800. 9800 = 2^3 * 5^2 * 7^2. To get the pair of numbers, we can combine these factors in different ways. One possible pair is 2^2 * 5 * 7 and 2 * 5 * 7, which equals 140 and 70, respectively. Therefore, 140 times 70 equals 9800.

24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264 +24 . . .

1 x 184, 2 x 92, 4 x 46, 8 x 23 = 184

The degree of a polynomial is the highest degree of its terms.
The degree of a term is the sum of the exponents of the variables.

7x3y2 + 15xy6 + 23x2y2

The degree of the first term is 5.
The degree of the second term is 7.
The degree of the third term is 4.

The degree of the polynomial is 7.

Well, isn't that a happy little question! Let's see, the factors of 32 are 1, 2, 4, 8, 16, and 32. To find which combination sums up to 10, we can see that 2 and 8 fit the bill. So, the factors of 32 that add up to 10 are 2 and 8. Just like painting, sometimes it's about finding the right combination to create something beautiful.

The HCF is: 25

The only common factor of those numbers that I can see is 2.
It is 2

The HCF of 30210 and 700 is 10

They are 1 and itself 280

Short answer: There are none.

There is neither a greatest common factor nor common factors of a single number, such as 160, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.

Examples:
The common factors of 4 and 160 are 1, 2, and 4; the greatest common factor is 4.
The common factors of 70 and 160 are 1, 2, 5, and 10; the greatest common factor is 10.

Oh, dude, the greatest common factor of 4 and 40 is 4. It's like the biggest number that both 4 and 40 can be divided by without leaving a remainder. So, if you're ever at a party and someone asks about the GCF of 4 and 40, you can totally impress them with that knowledge.

Oh, what a happy little question! When we multiply 8 by 5, we get 40. The factors of 40 are the numbers that can be multiplied together to give us 40, like 1, 2, 4, 5, 8, 10, 20, and 40. Just like painting, math can be a fun adventure of discovery!

Well, darling, the highest common factor of 189 and 147 is 21. It's like finding the perfect pair of shoes that go with every outfit - simple and practical. So, go ahead and strut your stuff knowing you've got that HCF on lock!

Since '125' ends in '5' it will divide by '5' , a prime number.

Hence

5)125) =

5)25 =

5)5 = 1

When reduced to '1' , the division process is complete.

So the factors are '5', '5' & '5'.

Hence this would be written explonential form as 5^(3) = 125

109 can be represented as the sum of two prime numbers, specifically 53 and 56. It is also the cube of 5 plus the square of 4, or (5^3 + 4^2). Additionally, 109 is a prime number itself, meaning it is only divisible by 1 and itself.

The GCF of 32, 44, and 56 is 4.

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (1 plus or minus the square root of 253) divided by 2

x = 8.452986860293432

x = -7.452986860293433

Oh, what a happy little question! Let's see, for 39, you can divide it by 1, 3, 13, and 39. And for 100, you can divide it by 1, 2, 4, 5, 10, 20, 25, 50, and 100. Remember, there are no mistakes in math, just happy little numbers finding their place.

To find out how many times 2 goes into 150, you would perform the division operation 150 ÷ 2. The result is 75, meaning that 2 goes into 150 a total of 75 times. This is because 2 multiplied by 75 equals 150.