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Factoring and Multiples
This category should include questions about greatest common factors and lowest common multiples.
63,380 Questions
Highest common factor of 77 and 259?
Well, isn't that a happy little question! To find the highest common factor of 77 and 259, we can start by listing the factors of both numbers. The factors of 77 are 1, 7, 11, and 77, while the factors of 259 are 1, 7, 37, and 259. The highest common factor is the largest number that appears in both lists, which in this case is 1. Remember, in the world of numbers, even the smallest factors can bring joy and harmony!
What is the greatest common factor 180 and 270?
Oh, dude, the greatest common factor of 180 and 270 is 90. Like, it's basically the biggest number that can divide both 180 and 270 without leaving a remainder. So, yeah, 90 is the winner in this math showdown.
What are the factors of 16 64 and 96?
The factors of 16 are 1, 2, 4, 8, and 16. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Factors are numbers that can be multiplied together to give the original number.
What is the least common multiple of 6 5 3 and 10?
note that 10 is a multiple of 5, and 6 is a multiple of 3, so we do not have to worry about 3 & 5. They are covered by 6 & 10. Here are the factors of 6 & 10:
- 6 = 3 x 2 x 1
- 10 = 5 x 2 x 1
The common factors (2 x 1) are taken once, then multiplied by the other factors: LCM = (2 x 1) x 3 x 5 = 30.
What is the GCF of 135 and 315?
Oh, dude, the greatest common factor of 135 and 315 is 45. It's like the biggest number that both 135 and 315 can be divided by without leaving a remainder. So yeah, 45 is the GCF, but like, who really cares, right?
What is 2 over 3 as a whole number?
2 over 3 as a whole number is 0 because when a fraction is less than 1 and cannot be simplified to a whole number, the result is always 0. In this case, 2 divided by 3 equals 0.666..., which, when rounded down, is 0.
What is the common factor of 10 and 13?
The factors of 11 are:
1, 11
The factors of 13 are:
1, 13
The factors of 17 are:
1, 17
The common factor is:
1
No, 6 is not a factor of 3. A factor of a number is a whole number that can be multiplied to give the original number. In this case, 6 cannot be multiplied by any whole number to give 3, so 6 is not a factor of 3.
What is the HCF of 1296 and 960?
The Highest Common Factor (HCF) of 1296 and 960 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, we can use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then using the remainder as the new divisor in the next iteration. By repeating this process, we find that the HCF of 1296 and 960 is 48.
What is the greatest common factor of 8 and 14?
The greatest common factor of 8 and 14 is 2
To find the GCF of 8 and 14, list the factors for each one. The GCF is the highest factor they share.
8: 1, 2, 4, 8
14: 1, 2, 7, 14
The GCF of 8 and 14 is 2.
What adds to -6 and multiplies to -24?
Well since we're adding two numbers that result in a negative, and a product that is negative, we're looking for a positive and a negative number.
-24
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1 is prime
-12 x 2 = -24 = -10
-8 x 3 = -24 = -5
-6 x 4 = -24 = -2
5 doesn't make 24
4 x -6 = -24 = -2 (Uh oh, repeating multiplication)
Once you begin repeating multiplication you've found all possibilities that could result in the sum of -6 and the product of -24. However, since you've found no numbers to result in your desired sum/product, the trinomial in which you are factoring is prime.
What is the greatest common factor of 259 and 222?
The greatest common factor is the highest number that divides exactly into two or more numbers.
168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The GCF of 168 and 224 is 56.
What are the common factors of 13 and 26?
The factors of 13 are 1, 13
The factors of 26 are 1, 2, 13, 26
The common factors of 13 and 26 are 1 and 13. The common factors are: 1, 13
What is the greatest common factor of 156 and 204?
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 156 and 204 is 12
What are the prime factors of 11830?
The prime factors of 11830 are the prime numbers that divide evenly into 11830 without leaving a remainder. To find the prime factors, we start by dividing 11830 by the smallest prime number, which is 2. We repeat this process with the quotient until we cannot divide any further. The prime factors of 11830 are 2, 5, 11, and 107.
What are the greatest common factors of 28 14 7?
Well, honey, the greatest common factor of 28, 14, and 7 is 7. It's like finding the one outfit that looks good on everyone - simple and classic. So, if you need to divide those numbers evenly, just reach for good ol' 7 and you'll be golden.
Can you Express as a product of prime factors 1875?
Oh, what a happy little question! Let's break down 1875 into its prime factors. We start by dividing 1875 by the smallest prime number, which is 3. Then we keep dividing until we can't go any further. When we're done, we'll have 1875 expressed as a product of prime factors, creating a beautiful mathematical masterpiece.
What are the common multiples of 4 8 and 16?
Well, honey, the common multiples of 4, 8, and 16 are numbers that all three can divide evenly into. So, the first few common multiples would be 16, 32, 48, and so on. Just keep adding 16 to get more of those bad boys. Happy counting!
What are the factors and prime factors of 3190?
The factors of 3190 are the numbers that can be multiplied together to result in 3190. The factors of 3190 are 1, 2, 5, 10, 11, 22, 55, 110, 29, 58, 145, 290, 319, 638, 1595, and 3190. The prime factors of 3190 are the prime numbers that can be multiplied together to result in 3190. The prime factors of 3190 are 2, 5, 11, 29.
What is the greatest common factor of 63 56 42 and 21?
The greatest common factor is the highest number that divides exactly into two or more numbers.
21: 1, 3, 7, 21
42: 1, 2, 3, 6, 7, 14, 21, 42
56: 1, 2, 4, 7, 8, 14, 28, 56
63: 1, 3, 7, 9, 21, 63
The greatest common factor for 21, 42, 56 and 63 is 7.
Ah, finding the Highest Common Factor is like finding a happy little tree in a forest. To find the HCF of 12 and 84, we look for the largest number that divides both 12 and 84 evenly. In this case, the HCF of 12 and 84 is 12. Just like how each brushstroke adds beauty to a painting, each step in math brings us closer to the answer.
What is the GCF of 100 and 25?
Well, honey, the Greatest Common Factor (GCF) of 100 and 25 is 25. It's like asking what's the biggest number that can divide both 100 and 25 without leaving a remainder - easy peasy lemon squeezy. So, there you have it, the GCF is 25, case closed.
What is the greatest common factor of 16 and 49?
The greatest common factor (GCF) of 16 and 49 is 1. This is because 16 and 49 do not share any common factors other than 1. In other words, there is no number greater than 1 that can evenly divide both 16 and 49. Therefore, the GCF of 16 and 49 is 1.
