Factoring and Multiples

They are 9 times 16 = 144

Oh, dude, the factors of 5a are 1, 5, a, and 5a. It's like, you can't really break it down any further because those are the only numbers that can divide evenly into 5a without leaving a remainder. So yeah, that's pretty much it.

The greatest common factor (GCF) of 75 and 225 is 75. To find the GCF, you need to determine the largest number that divides both 75 and 225 without leaving a remainder. In this case, 75 is the largest number that can divide both 75 and 225 evenly, making it the GCF.

(4000,2)(2000,4)(1600,5)(1000,8)(800,10)(500,16)(400,20)(320,25)(250,32)(200,40)(160,50)(125,64)(100,80)

The common denominator of 2 and 3 is the smallest number that both 2 and 3 can evenly divide into. In this case, the common denominator is 6, as both 2 and 3 can evenly divide into 6. This is because 6 is the smallest multiple that is divisible by both 2 and 3.

Oh, dude, the least common multiple of 4, 7, and 20 is 140. It's like the smallest number that all three of those numbers can divide evenly into without leaving a remainder. So, if you're planning a party with 4, 7, and 20 guests, you'll need at least 140 snacks to keep everyone happy.

Well, honey, the number 7 fits the bill. It's a factor of 14 because 14 divided by 7 equals 2, but it ain't a multiple of 2 because, well, it's just not. Math can be a real hoot sometimes, can't it?

The GCF is m

To find two numbers that multiply to 212, we need to factorize 212. The prime factorization of 212 is 2 x 2 x 53. Therefore, the two numbers that multiply to 212 are 2 and 106, or -2 and -106, as well as 4 and 53, or -4 and -53.

The multiples of 12 are numbers that can be divided by 12 without leaving a remainder. To find the multiples of 12 up to 200, you would start by listing out the multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192. The last multiple of 12 that is less than 200 is 192.

30 factors

Well, honey, the highest common factor of 320 and 128 is 64. You see, 64 is the largest number that can divide both 320 and 128 without leaving a remainder. So there you have it, 64 is the boss in this situation.

Oh, dude, the highest common factor (HCF) of 375 and 100 is 25. Basically, it's the largest number that can divide both 375 and 100 without leaving a remainder. So, like, 25 is the winner here, making sure both 375 and 100 are happy and whole.

To find a common multiple for 2, 4, and 7 with a digit sum of 11, we first need to find the multiples of each number. The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and so on. The multiples of 4 are 4, 8, 12, 16, 20, and so on. The multiples of 7 are 7, 14, 21, 28, 35, and so on. By examining the lists, we find that the number 28 is a common multiple for 2, 4, and 7 with a digit sum of 11.

The common multiples are the infinite set of the multiples of the LCM of 7 and 8. Therefore, the common multiples of 7 and 8 are 56, 112, 168, 224, 280, and so on.

To determine if 405 is divisible by 2, we check if it is even, which it is not, so it is not divisible by 2. To check for divisibility by 3, we sum the digits of 405 (4+0+5=9), and since this sum is divisible by 3, 405 is divisible by 3. For divisibility by 5, we check if the last digit is 0 or 5, which it is, so 405 is divisible by 5. To check for divisibility by 9, we sum the digits again (4+0+5=9), and since this sum is divisible by 9, 405 is divisible by 9. Lastly, for divisibility by 10, we check if the number ends in 0, which it does, so 405 is divisible by 10.

The least common multiple of 11, 10, 8, and 4 is 440Prime factors of 11: 11 Prime factors of 10: 2 x 5 Prime factors of 8: 23 Prime factors of 4: 22 Productof the highest powers of all the primes in the 4 numbers: 11 x 23 x 5 = 440

The number that goes into both 56 and 252 is 4. This is because both 56 and 252 are divisible by 4 without leaving a remainder. When you divide 56 by 4, you get 14, and when you divide 252 by 4, you get 63.

Oh, dude, the square root of 196 is like 14. I mean, if you're into math and all that, which, you know, some people are. But hey, if you ever need to know the square root of 196 for, like, a trivia night or something, now you're covered.

To find two numbers that multiply to 274, we can start by factoring 274 into its prime factors: 2 x 137. Therefore, the two numbers that multiply to 274 are 2 and 137.

The square root of 196 is 14, so 14 times 14 equals 196. Another way to express this is that 196 is a perfect square, specifically 14 squared. This means that 14 multiplied by itself equals 196.

Oh, what a happy little question! The prime factorization of 343 is 7 x 7 x 7, or 7^3. Just like painting a beautiful landscape, breaking down numbers into their prime factors can be a soothing and meditative process. Remember, there are no mistakes in math, just happy little calculations!

Alright, honey, let's cut to the chase. The greatest common factor of 8, 12, and 52 is 4. It's like finding the perfect little black dress that fits all three of them without any alterations. So, there you have it, 4 is the winner in this mathematical fashion show.