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Factoring and Multiples
This category should include questions about greatest common factors and lowest common multiples.
63,380 Questions
What is the answer for 2.05 times 1000?
To find the answer for 2.05 times 1000, you simply multiply 2.05 by 1000. The result is 2050. This is because when you multiply a decimal number by 1000, you move the decimal point three places to the right in the product.
What is the greatest common factor of 80 and 110?
Cannot be answered because in math, the greatest common divisor (GCD) of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.
The greatest common factor (GCF) of 85 and 20 is 5. To find the GCF, you can list the factors of each number: 85 (1, 5, 17, 85) and 20 (1, 2, 4, 5, 10, 20). The largest number that appears in both lists is 5, making it the GCF.
What are the common multiples of 2 and 5?
The common multiples of 2 and 5 are 10, 20, 30, 40, etc.
In detail:
A common multiple is a number divisible by both (or all) numbers: 2 and 5, here.
Knowing that all numbers divisible by 2 have a 0, 2, 4, 6, or 8 in the ones place combined with the knowledge that all numbers divisible by 5 end with 0 or 5 (excluding 0 in both cases), we can say the only multiples of each number that are common to both are numbers that end with 0.
Another way of analyzing this problem is to say that both 5 and 2 are factors. 10 is clearly a multiple of 5 and 2 because 2(5)=10. Any number divisible by 10 is thus also divisible by 2 and 5. All numbers divisible by 10 end in 0. Thus, a number ends in 0 if and only if it is divisible by 2 and 5.
Answer: Common multiples of 2 and 5 end with zero.
What is the highest common factor of 77 and 161?
Oh, dude, the highest common factor of 77 and 161 is 7. Like, you take the factors of each number, which are 1, 7, 11, 77 for 77, and 1, 7, 23, 161 for 161, and then you pick the highest one they have in common. It's like finding the coolest friend they both hang out with.
What are all the common factors of 85 and 155?
Oh, dude, you want me to find the common factors of 85 and 155? Alright, let's see... So, the factors of 85 are 1, 5, 17, and 85, and the factors of 155 are 1, 5, 31, and 155. The common factors are 1 and 5. There you go, math wizardry at its finest!
What is the common factor of 10 and 25?
10= 1, 2, 5, 10
25= 1, 5, 25
Highest Common Factor= 5
Lowest Common Factor= 1
What is the HCF for 27 63 and 208?
To find the Highest Common Factor (HCF) of 27, 63, and 208, we need to first find the prime factors of each number. The prime factors of 27 are 3 x 3 x 3, the prime factors of 63 are 3 x 3 x 7, and the prime factors of 208 are 2 x 2 x 2 x 2 x 13. The HCF is the product of the common prime factors raised to the lowest power they appear in any of the numbers, which in this case is 3. Therefore, the HCF of 27, 63, and 208 is 3.
What is the ratio of 24 to 60?
The ratio of 24 to 60 can be simplified by dividing both numbers by their greatest common factor, which is 12. So, 24 ÷ 12 = 2 and 60 ÷ 12 = 5. Therefore, the ratio of 24 to 60 is 2:5.
How do you write 9106 in expanded form using exponents?
To write 9106 in expanded form using exponents, we break down the number into its digits and place them according to their place value. 9106 can be written as (9 x 10^3) + (1 x 10^2) + (0 x 10^1) + (6 x 10^0). This translates to 9000 + 100 + 0 + 6, which equals 9106.
What is the LCM of 125 and 15?
The LCM, or Least Common Multiple, of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 125 and 15, we first need to find the prime factors of each number. 125 = 5^3 and 15 = 3 * 5. The LCM is the product of the highest power of each prime factor that appears in either number, so LCM(125, 15) = 5^3 * 3 = 375.
What is the greatest common factor of x2y xy2?
To find the greatest common factor of x^2y and xy^2, we need to determine the highest power of each variable that is common to both terms. In this case, the common factors are x and y. The highest power of x that is common to both terms is x^1, and the highest power of y that is common to both terms is y^1. Therefore, the greatest common factor of x^2y and xy^2 is xy.
What is the largest odd natural number that is a factor of 120?
To find the largest odd natural number that is a factor of 120, we first need to factorize 120 into its prime factors, which are 2^3 * 3 * 5. Since we are looking for an odd factor, we can ignore the factor of 2. The largest odd factor of 120 is then 3, as it is the largest odd prime factor present in the prime factorization of 120.
How many three digit numbers are multiples of 20?
To find how many three-digit numbers are multiples of 20, we need to determine the range of three-digit numbers divisible by 20. The smallest three-digit number divisible by 20 is 100, and the largest is 980. To find the count of numbers in this range, we can divide the largest number by 20 and subtract the result of dividing the smallest number by 20, then add 1 to account for the inclusive range. Therefore, the number of three-digit multiples of 20 is (980/20) - (100/20) + 1 = 49 - 5 + 1 = 45.
Alright, honey, the greatest common factor of 12 and 21 is 3. So, if you're looking to simplify things, just divide both numbers by 3 and you'll be good to go. Math doesn't have to be a headache, darling!
Why you would never be asked to find the least common factor of a pair of numbers?
You would never be asked to find the least common factor of a pair of numbers because factors are the numbers that can be multiplied together to get a specific number, and the least common factor of any pair of numbers is always 1. This is because 1 is a factor of every number and is the smallest positive integer. Therefore, finding the least common factor of a pair of numbers would always result in 1, making it unnecessary to calculate.
What are the first three multiples 5 and 9?
5: 5, 10, 15
9: 9, 18, 27
If you are looking for the lowest common multiple between 5 and 9 it would be 45.
By the way multiples are just counting by the number itself. e.g. 5, 10, 15, 20, 25, 30, 35 (just count by fives or if the number was anything else count by that number)
What is the least common multiple of 20 and 42?
Oh honey, the least common multiple of 20 and 42 is 420. It's like finding the perfect pair of shoes that goes with every outfit - rare but oh-so-satisfying. So, go ahead and flaunt that LCM like the fabulous math diva you are!
It is not possible to give a sensible answer to this question. The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question!
What is the lowest common multiple of 99 and 165?
To find the lowest common multiple (LCM) of 99 and 165, we first need to find the prime factorization of each number. The prime factorization of 99 is 3 x 3 x 11, and the prime factorization of 165 is 3 x 5 x 11. To find the LCM, we take the highest power of each prime factor that appears in either number: 3^2 x 5 x 11 = 495. Therefore, the lowest common multiple of 99 and 165 is 495.
