Factoring and Multiples

To determine what 954 is divisible by, we need to consider the factors of 954. The prime factorization of 954 is 2 x 3 x 3 x 53. Therefore, 954 is divisible by 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, and 954.

To find the greatest common factor (GCF) of 77 and 203, we first need to list the factors of each number. The factors of 77 are 1, 7, 11, and 77. The factors of 203 are 1, 7, 29, and 203. The GCF is the largest number that both 77 and 203 can be divided evenly by, which in this case is 7. Therefore, the greatest common factor of 77 and 203 is 7.

The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the GCF of 77 and 121, you can factorize both numbers: 77 = 7 x 11 and 121 = 11 x 11. The common factor between 77 and 121 is 11, which is the greatest common factor of the two numbers.

To find the greatest common factor (GCF) of three numbers, we first need to factorize each number. The factors of 22 are 2 x 11, the factors of 33 are 3 x 11, and the factors of 121 are 11 x 11. The common factor among these numbers is 11, which is the greatest common factor. Therefore, the GCF of 22, 33, and 121 is 11.

To find the greatest common factor (GCF) of 22, 88, and 121, we need to determine the largest number that divides evenly into all three numbers. The prime factorization of 22 is 2 x 11, 88 is 2^3 x 11, and 121 is 11^2. The common factor among them is 11. Therefore, the greatest common factor of 22, 88, and 121 is 11.

Oh honey, the greatest common factor (GCF) of 27, 63, and 81 is 9. It's like finding the biggest diva that can divide all three numbers without breaking a sweat. So, 9 is the winner winner, chicken dinner in this math showdown.

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 36, 54, and 81 is 9

The greatest common multiple of a number is the largest number that can be evenly divided by the given number. In this case, the greatest common multiple of 4568 would be 4568 itself, as any multiple of 4568 would also be a multiple of 4568. Therefore, the greatest common multiple of 4568 is 4568.

To find the greatest common factor (GCF) of 48, 54, and 72, we first need to 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 54 are 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The GCF is the largest number that appears in all three lists, which in this case is 6.

Oh honey, the greatest common factor of 96 and 212 is 4. It's like finding the one thing they both have in common, and in this case, 4 is that lucky winner. So, go ahead and give a round of applause to 4 for being the real MVP in this math problem.

To express 36 as a product of prime factors, we first break it down into its prime factors: 2 x 2 x 3 x 3. This simplifies to 2^2 x 3^2 in index form, where the exponents represent the number of times each prime factor is multiplied.

The greatest common factor (GCF) of two numbers is the largest number that divides evenly into both numbers without leaving a remainder. To find the GCF of 60 and 150, we need to list the factors of each number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. The GCF of 60 and 150 is 30, as it is the largest number that appears in both lists.

To find the common factors of 9 and 18, we first need to list the factors of each number. The factors of 9 are 1, 3, and 9, while the factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors of 9 and 18 are 1, 3, and 9. Adding these common factors together gives us a sum of 13.

To find the least common multiple (LCM) of 5, 12, and 11, we first need to prime factorize each number. The prime factorization of 5 is 5, 12 is 2^2 * 3, and 11 is a prime number. The LCM is the product of the highest power of all prime factors present in the factorization of each number, which gives us 2^2 * 3 * 5 * 11 = 660. Therefore, the least common multiple of 5, 12, and 11 is 660.

Oh, what a happy little question! To write 500 as a fraction, you can simply put it over 1 to create 500/1. This is because any whole number can be written as a fraction by putting it over 1. Just like that, you've turned 500 into a fraction, and there are so many more possibilities waiting for you on your creative math journey!

The Study Link answers for 5th grade Everyday Mathematics can typically be found in the back of the student journal or textbook. These answers are usually provided to help students check their work and understand the concepts better. Additionally, some schools or teachers may also provide access to online resources or answer keys for further assistance with the Study Link activities.

1 x 61 = 61. 61 is a prime number having no factors other than 1 and itself.

Well, isn't that a lovely little math problem we have here? Let's see, to find two numbers that multiply together to equal 1005, we can break it down into its factors. After a bit of happy math, we find that 45 times 23 equals 1005. Happy little numbers, just waiting to be discovered!

1 x 164, 2 x 82, 4 x 41.

To find the highest common factor (HCF) between 30,210 and 700, we first need to find the prime factors of each number. The prime factors of 30,210 are 2 x 3 x 5 x 7 x 11 x 17, and the prime factors of 700 are 2 x 2 x 5 x 5 x 7. To determine the HCF, we identify the common prime factors between the two numbers, which are 2, 5, and 7. Multiplying these common factors together gives us the HCF of 70.

Oh, dude, you've got a couple of options here. So, multiples of 12 are 12, 24, 36, 48, and so on. Multiples of 15 are 15, 30, 45, 60, and the list goes on. The two numbers that are both multiples of 12 and 15 are 60 and 120. Like, easy peasy lemon squeezy!

Oh honey, 72 is like a puzzle piece that's been put together a million times. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The greatest common factor is the biggest number that can divide both 72 and another number without leaving a remainder. So, the greatest common factor of 72 is 72 itself.

To express 80 as the product of its prime factors, we start by dividing 80 by the smallest prime number, which is 2. 80 ÷ 2 = 40. Then, we divide 40 by 2 again to get 20. Continuing this process, we find that 80 can be expressed as 2 x 2 x 2 x 2 x 5, or 2^4 x 5.

Well, honey, the least common multiple of 64 and 7 is 448. It's the smallest multiple that both 64 and 7 can divide into evenly. So, there you have it, darling. Math can be a real hoot sometimes!

To determine if any number goes into 295 evenly, we need to find its factors. The factors of 295 are 1, 5, 59, and 295. Since 295 divided by any of these factors does not result in a whole number, 295 is not divisible by any number other than itself and 1. Therefore, no number goes into 295 evenly.