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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 504 as a product of its prime factors?
24 * 32 * 7 = 504.
No, not so.
24 * 32 * 7 = 1008.
The correct answer (the one just deleted !) is
2 x 2 x 2 x 3 x 3 x 7 = 504.
What is the greatest common factor of 168 and 196?
To find the greatest common factor (GCF) of 168 and 196, we need to list the factors of each number. The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The GCF of 168 and 196 is 28, which is the largest number that divides both 168 and 196 without leaving a remainder.
2x2x2x3x7 is the prime factorization for what number?
The prime factorization 2x2x2x3x7 represents the number 168. This is because when you multiply 2x2x2x3x7, you get 168. Prime factorization is the process of breaking down a number into its prime factors, which are the building blocks of the number. In this case, the prime factors of 168 are 2, 2, 2, 3, and 7.
Is 278 divisible by 2345678910?
YES!!!! However, you will end up with some 'horrible great decimal' number.
0.0000001185157946.....
Usually written as 1.185157946 x 10^(-7) .
What is a 3 digit number that is divisible by both 3 and 5?
If it's to be divisible by 5, it must end in 5 or 0. And if it's to be divisible by 3, adding the digits together must result in a multiple of 3.
The smallest such number is 105; the largest is 990.
Since 3 x 5 = 15, all three-digit multiples of 15 would qualify. Note that 105 = 15 x 7, and 990 = 15 x 66.
How many Multiples of 10 lie between 2000 and 5000?
Oh, isn't that a happy little question! Let's see here... To find the multiples of 10 between 2000 and 5000, we simply need to divide the endpoints by 10. When we do that, we get 200 and 500. So, there are 500 - 200 - 1 = 299 multiples of 10 between 2000 and 5000. Isn't that just delightful?
What is the LCM of 12 and 24 and 6?
The Least Common Multiple (LCM) of 12, 24, and 6 is the smallest multiple that all three numbers share. To find the LCM, you first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, 24 is 2^3 * 3, and 6 is 2 * 3. Then, you take the highest power of each prime factor that appears in any of the factorizations, which gives you 2^3 * 3 = 24. Therefore, the LCM of 12, 24, and 6 is 24.
Well, isn't that just a happy little math problem? To find one seventh of 84, you can simply divide 84 by 7. When you do that, you'll see that 1 seventh of 84 is 12. Just like painting, sometimes math can be a beautiful and calming experience.
What are the factors and prime factors of 1078?
1078 is a composite number because it has factors other than 1 and itself. It is not a prime number.
The 12 factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, and 1078. The factor pairs of 1078 are 1 x 1078, 2 x 539, 7 x 154, 11 x 98, 14 x 77, and 22 x 49.
The proper factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, and 539 or,
if the definition you are using excludes 1, they are 2, 7, 11, 14, 22, 49, 77, 98, 154, and 539.
The prime factors of 1078 are 2, 7, 7, and 11.
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 3 distinct prime factors (listing each prime factor only once) of 1078 are 2, 7, and 11.
The prime factorization of 1078 is 2 x 7 x 7 x 11 or, in index form (in other words, using exponents), 2 x 72 x 11.
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 times by another number equals 250?
Oh, dude, you're hitting me with some math now? Like, okay, let's break it down. So, if you wanna find out what times by another number equals 250, you just divide 250 by that number. Simple, right? In this case, it's 250 divided by 10, which equals 25. So, 10 times 25 equals 250. Math is wild, man.
What is hcf of 165 195 and 285?
The Highest Common Factor (HCF) of 165, 195, and 285 is the largest number that divides all three numbers evenly. To find the HCF, we first factorize each number: 165 = 3 x 5 x 11, 195 = 3 x 5 x 13, and 285 = 3 x 5 x 19. Then, we identify the common factors among the three numbers, which are 3 and 5. Therefore, the HCF of 165, 195, and 285 is 15 (3 x 5).
What multiples of 10 are factors of 280?
Well, isn't that just a happy little math question! To find the multiples of 10 that are factors of 280, we simply need to see which numbers can be multiplied by 10 to give us 280. So, if we take 280 and divide it by 10, we get 28. That means 10 and 28 are the multiples of 10 that are factors of 280. Just like painting, math can be a beautiful and calming experience when we take it one step at a time.
The number 49 can be expressed as the square of 7, since 7 multiplied by 7 equals 49. In addition to this, 49 can also be written as the sum of consecutive numbers, such as 24 + 25. Furthermore, 49 is a prime number, meaning it is only divisible by 1 and itself.
What is the greatest common factor of 240 and 320?
To find the greatest common factor of 240 and 320, we need to determine the largest number that divides both 240 and 320 without leaving a remainder. One way to find this is to list out the factors of each number and identify the largest one they have in common. The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240. The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320. The greatest common factor of 240 and 320 is 80.
What is the greatest common factor of 90 60 and 150?
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
GCF (90, 60, 150) = 30
What is the greatest common factor 128 and 224?
Well, honey, the greatest common factor of 128 and 224 is 16. It's like finding the biggest slice of pie they both can share without any leftovers. So, there you have it, 16 is the magic number that these two can both cozy up to.
