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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 greatest common factor of 84 and 126?
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. To find the GCF of 84 and 126, we first list the factors of each number: 84 (1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84) and 126 (1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126). The common factors are 1, 2, 3, 6, 7, 14, 21, and 42. Therefore, the greatest common factor of 84 and 126 is 42.
What is the prime factorization for 32?
the prime factorization of 32 is 2x2x2x2x2 or 2v5 (Note: 2v5 is not 2 versus 5, it is 2 to the power of 5. 2v5 is an exponent that you put in the calculator.)
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2 x 2 x 2 x 2 x 2 = 32
What odd numbers are divisible by 2?
No odd numbers are evenly divisible by 2.
3 ÷ 2 = 1 1/2
11 ÷ 2 = 5 1/2
What is the greatest common factor of 74 148 and 185?
Well, honey, the greatest common factor of 74, 148, and 185 is 37. It's like finding the perfect little black dress that fits all three numbers like a glove. So, there you have it - 37 is the winner, winner, chicken dinner!
Well, isn't that a happy little question! To find the Greatest Common Factor (GCF) of 52, 44, and 56, we first list the factors of each number. The GCF is the largest number that divides evenly into all three numbers, bringing them together in perfect harmony. Take your time, enjoy the process, and you'll find the GCF before you know it!
What is the least common multiple for 100 200 300 400?
Oh, what a happy little question! To find the least common multiple, we look for the smallest number that all of these numbers can divide into evenly. The least common multiple for 100, 200, 300, and 400 is 600, as it is the smallest number that each of these numbers can divide into without leaving a remainder. Happy calculating, my friend!
The Highest Common Factor (HCF) of 99 is 99. This is because 99 is a prime number, meaning it only has two factors: 1 and 99. Since there are no other common factors between 99 and any other number, the HCF remains 99.
Each of these factor pairs (multiply the numbers in parentheses) equals 90:
(1, 90)
(2, 45)
(3, 30)
(5, 18)
(6, 15)
(9, 10)
What is a x a x a x a x a x a x a x a x a simplifyed?
Oh, dude, you're hitting me with some math lingo! So, when you see all those "x"s in a row, it's like saying "x" multiplied by itself a bunch of times. In this case, "a" is just a stand-in for any number or variable, so if you simplify it, you'd get "a^10" because you're basically multiplying "a" by itself 10 times. Easy peasy, right?
No, 129 is not a prime number. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In the case of 129, it can be factored as 3 x 43, so it is not prime.
Does it matter what two factors you select to a factor tree explain?
No. Since you are going to keep factoring until all the factors are prime, it doesn't matter what you start with. Example: 36
You can start with 6 and 6, which you would then break down into 2,3,2,3. You could start with 9 and 4, which you would then break down to 3,3,2,2. Either way, you're going to wind up with two twos and two threes.
2 x 2 x 3 x 3 is the prime factorization for 36.
What is the LCM of 2700 and 7800?
To find the Least Common Multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 2700 is 2^2 * 3^3 * 5^2 and the prime factorization of 7800 is 2^3 * 3 * 5^2. Then, you take the highest power of each prime factor that appears in either number. In this case, the LCM of 2700 and 7800 is 2^3 * 3^3 * 5^2, which equals 10800.
What are the factors and prime factors of 840?
840 is a composite number because it has factors other than 1 and itself. It is not a prime number.
The 32 factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840.
The proper factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, and 420 or,
if the definition you are using excludes 1, they are 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, and 420.
The prime factors of 840 are 2, 2, 2, 3, 5, and 7. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.
The 4 distinct prime factors (listing each prime factor only once) of 840 are 2, 3, 5, and 7.
The prime factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7 or, in index form (in other words, using exponents), 23 x 3 x 5 x 7.
NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
What are the first 8 multiples of 10?
It is so very simple and quick to get the answer, especially since, if you need it, you can use the calculator that comes with your computer. You should try it:
8 * 1 =
8 * 2 =
and so on.
What is the highest common factor of 30 60 and 120?
The highest common factor (HCF) of 30, 60, and 120 is 30. To find the HCF, you can list the factors of each number and then identify the largest factor that is common to all three numbers. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The highest common factor among these three sets of factors is 30.
What is the greatest common factor of 27 36 and 63?
To find the greatest common factor (GCF) of 27, 36, and 63, we first need to find the factors of each number. The factors of 27 are 1, 3, 9, and 27. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 63 are 1, 3, 7, 9, 21, and 63. The GCF is the largest number that is common to all three lists, which in this case is 9. Therefore, the greatest common factor of 27, 36, and 63 is 9.
What numbers are multiples of 3 up to 10000?
Oh, dude, multiples of 3 up to 10,000 are like, every third number, you know? So, it's like 3, 6, 9, and so on, all the way up to 9,999. Just keep adding 3 to the previous number and you're golden. Math can be chill sometimes, man.
What numbers is multiples of 27 9 15 81 18?
Oh, what a happy little question! Multiples of 27 include 27, 54, 81, and so on. Multiples of 9 include 9, 18, 27, and more. Multiples of 15 are 15, 30, 45, and beyond. And multiples of 81 include 81, 162, 243, and many more. Just remember, each number has its own special multiples waiting to be discovered!
