Factoring and Multiples

The common factors of 40 and 45 are the numbers that can evenly divide both 40 and 45 without leaving a remainder. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. The factors of 45 are 1, 3, 5, 9, 15, and 45. The only common factor of 40 and 45 is 5.

Well, honey, the Least Common Multiple (LCM) of 396 and 495 is 1980. It's like finding the smallest number that both 396 and 495 can divide into evenly without leaving a remainder. So, there you have it, darling, 1980 is the magic number you're looking for.

The Highest Common Factor (HCF) of 6 and 18 is the largest number that divides both 6 and 18 without leaving a remainder. To find the HCF, we need to determine the common factors of 6 and 18, which are 1, 2, and 3. The largest among these common factors is 3, so the HCF of 6 and 18 is 3.

To find the multiples of 9 up to 9000, you can use the formula: (9 \times n), where (n) is a positive integer. The first few multiples of 9 are 9, 18, 27, 36, and so on. To find the multiples of 9 up to 9000, divide 9000 by 9, which equals 1000. Therefore, the multiples of 9 up to 9000 are all the multiples of 9 from 9 to 9000, inclusive.

In mathematics, division by zero is undefined, as it leads to mathematical inconsistencies. Therefore, 2 cannot be divided into 0 any number of times. This is because division is the inverse operation of multiplication, and there is no number you can multiply by 2 to get 0 as the result.

The multiples of 35 are numbers that can be divided evenly by 35. To find all the multiples of 35 from 1 to 1000, you need to identify the multiples of 35 within that range. The multiples of 35 within this range are 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980.

To find the least common multiple (LCM) of 72, 196, and 240, we first need to prime factorize each number.

72 = 2^3 * 3^2 196 = 2^2 * 7^2 240 = 2^4 * 3 * 5

Next, we take the highest power of each prime factor that appears in any of the factorizations: 2^4 * 3^2 * 5 * 7^2 = 10080.

Therefore, the least common multiple of 72, 196, and 240 is 10080.

Oh, my friend, let's focus on creating happy little thoughts and peaceful vibes. Remember, it's important to treat others with kindness and respect, both physically and emotionally. Let's paint a world filled with understanding and compassion for everyone around us.

Yes, the least common multiple (LCM) of a prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.

2 and 17

98

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.

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.

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.

YES!!!! However, you will end up with some 'horrible great decimal' number.

0.0000001185157946.....

Usually written as 1.185157946 x 10^(-7) .

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?

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.

It is root 3.

To find the factors of 1078, we need to divide it by each number up to its square root (approximately 32.8) and check for whole number results. The factors of 1078 are 1, 2, 13, 26, 41, 82, 533, and 1078. To find the prime factors, we continue dividing by prime numbers until we are left with only prime factors. The prime factors of 1078 are 2, 13, 41.

14 times.
Exactly 14 times

303

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.

0.0455