Factoring and Multiples

Oh, dude, let me break it down for you. So, 36 is a multiple of 3 because 36 divided by 3 equals 12, which is a whole number. But when it comes to 4, 6, 8, and 12, sorry to burst your bubble, but 36 isn't a multiple of any of those. Like, they just don't divide evenly into 36. Hope that clears things up for you!

They are: 1 2 3 5 7 11 13 17 19 and 23 which are all prime numbers having only 2 factors except for 1 which has only one factor which is itself.

123.2857

Oh honey, buckle up because we're diving into the world of multiples! The common multiples of those numbers are any number that each of them can divide into evenly. So, the common multiples of 8, 12, 16, 20, 24, 28, 32, 36, and 40 are 120, 240, 360, and so on. It's like a big ol' party where everyone is invited, even the pickiest diva of the group.

To determine what 60201 is divisible by, we need to find its factors. By performing prime factorization, we find that 60201 = 3 x 20067. Further breaking down 20067, we find that it equals 3 x 6689. Therefore, 60201 is divisible by 3, 6689, and 20067.

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

Oh, dude, it's like super simple. So, basically, you classify polynomials based on their degree, which is the highest power of the variable in the polynomial. If the highest power is 1, it's a linear polynomial; if it's 2, it's quadratic; and if it's 3, it's cubic. Anything beyond that, like a fourth-degree polynomial or higher, we just call them "higher-degree polynomials." Easy peasy, lemon squeezy!

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

Oh, dude, the greatest common factor of 33 and 74 is 1. Yeah, they don't have any other factors in common besides that one lonely number. So, like, they're not really besties in the world of math.

The HCF of 30210 and 700 is 10

They are 1 and itself 280

The common factors of 160 are the numbers that can evenly divide 160 without leaving a remainder. These factors include 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. The greatest common factor (GCF) of 160 is the largest number that divides 160 and another given number without leaving a remainder. In this case, since 160 is a multiple of 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160, the greatest common factor of 160 with any other number would be 160.

To find the greatest common factor (GCF) of 160 and 4800, you need to list the factors of each number. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 320, 480, 960, and 4800. The GCF of 160 and 4800 is the largest number that appears in both lists, which is 80.

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!