Factoring and Multiples

The numbers below are the factor pairs of 10,000 (multiplied together they equal 10,000)

(1, 10000)

(2, 5000)

(4, 2500)

(5, 2000)

(8, 1250)

(10, 1000)

(16, 625)

(20, 500)

(25, 400)

(40, 250)

(50, 200)

(80, 125)

(100, 100)

1/8 or 1/5 or 1/6 or 1/10 any thing that is bigger than 4, (the denominator, bottom number of the fraction)

Well, darling, if you want to get technical, any number multiplied by 0.25 will equal 0.25. So, 0.25 divided by 0.25 equals 1. Therefore, 1 times 0.25 equals 0.25. Math can be a real hoot sometimes, can't it?

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 352, 400, 440, 500, 550, 800, 880, 1000, 1100, 1375, 1760, 2000, 2200, 2750, 4000, 4400, 5500, 8800, 11000, 22000, 44000

Oh, dude, the least common multiple (LCM) of 156 and 364 is 1092. It's like the smallest number that both 156 and 364 can divide into evenly without leaving a remainder. So, if you're throwing a party and you need to buy snacks in bulk, you'd probably want to get 1092 of everything to keep everyone happy.

Well, isn't that a lovely question! To find the highest common multiple of 66, 121, and 132, we first need to find the multiples of each number. Then, we look for the largest number that is a multiple of all three. It's like finding a happy little tree among the forest - just take your time and enjoy the process!

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

Well, honey, the Highest Common Factor (HCF) of 27 and 18 is 9. It's like finding the biggest number that can divide both 27 and 18 without leaving a remainder. So, there you have it, 9 is the winner in this mathematical showdown.

The Highest Common Factor (HCF) of 165 and 150 is 15. To find the HCF, you can list out the factors of each number and identify the highest common factor. The factors of 165 are 1, 3, 5, 15, 33, 55, and 165. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. The highest common factor between the two numbers is 15.

Oh, dude, factors are like the friends that multiply together to give you the number you're looking for. So, for 21, you've got 1, 3, 7, and 21 hanging out together. Then, for 30, you've got 1, 2, 3, 5, 6, 10, 15, and 30 chilling. And finally, for 44, you've got 1, 2, 4, 11, 22, and 44 just doing their factor thing.

Ah, isn't math just a happy little adventure? To find what times what equals 650, we can break it down gently. Let's see, 25 times 26 equals 650, creating a beautiful harmony on our canvas of numbers. Remember, there are many ways to approach a problem, so trust your instincts and enjoy the process of discovery.

Well, darling, the greatest common factor for 21, 35, and 56 is 7. It's like finding the perfect little black dress that fits all three numbers like a charm. So, go ahead and flaunt that GCF like it's the latest fashion trend.

When we say that a number varies by a factor of two from another number, it means that one number is twice the value of the other. Mathematically, if we have two numbers, A and B, and A varies by a factor of two from B, then A = 2B. This relationship indicates that A is double the value of B.

3528

28 = 22 x 7

72 = 23 x 32

98 = 2 x 72

lcm = 23 x 32 x 72 = 3528

Well, isn't that just a happy little math problem we have here! The greatest common factor of 22 and 88 is 22. You see, both numbers can be divided evenly by 22, making it the largest number that can go into both of them with no remainder. Just like painting a beautiful landscape, finding the greatest common factor is all about looking for the common elements that bring things together harmoniously.

Any number using each of the digits once will be a multiple of 3: eg 1597864302

Oh, dude, the ratio of 54 to 36 is like 3:2. You just divide both numbers by their greatest common factor, which is 18 in this case. So, 54 divided by 18 is 3, and 36 divided by 18 is 2. Easy peasy lemon squeezy!

Because 3 is a factor of 9.

Oh, dude, it's like super easy. To find one sixth of something, you just divide it by 6. So, if you have 12 cookies and you wanna know how many that is, you just divide by 6 and get 2. It's like basic math, man.

Well, let's take a moment to appreciate the number 975. If we look closely, we can see that it can be divided by 5, as 5 goes into 975 evenly. However, it cannot be divided by 2, 3, 9, or 10 without having a remainder. Remember, every number is special in its own way!

To find the greatest common factor (GCF) of 48, 60, and 84, we first list the factors of each number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The GCF of 48, 60, and 84 is the largest number that is common to all three lists, which is 12.

To find the prime factors of 1584, we start by dividing it by the smallest prime number, which is 2. 1584 ÷ 2 = 792. Next, we divide 792 by 2 to get 396. Continuing this process, we find that 396 = 2 x 2 x 3 x 66 = 2 x 2 x 3 x 2 x 33 = 2 x 2 x 3 x 2 x 3 x 11. Therefore, the prime factors of 1584 are 2 x 2 x 2 x 2 x 3 x 3 x 11.

To find the least common multiple (LCM) of 9, 21, and 16, we first need to find the prime factorization of each number. The prime factorization of 9 is 3^2, 21 is 3 * 7, and 16 is 2^4. To calculate the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^4 * 3^2 * 7 = 504. Therefore, the least common multiple of 9, 21, and 16 is 504.

To determine if a number is divisible by 13488, we need to check if it meets the divisibility criteria for 13488. One way to do this is to find the prime factorization of 13488, which is 2^7 * 3 * 59. Then, we can check if the given number has the same prime factors with equal or greater exponents. If it does, then it is divisible by 13488.