Factoring and Multiples

To find 3/4 of 480, you multiply 480 by 3/4. This can be calculated by multiplying 480 by 3 and then dividing the result by 4.

(480 x 3) / 4 = 1440 / 4 = 360.

Therefore, 3/4 of 480 is 360.

A 5-digit number that is divisible by 9 must have its digits sum to a multiple of 9. The smallest 5-digit number that fits this criterion is 10,008 (1 + 0 + 0 + 0 + 8 = 9). Other examples include 10,017, 10,026, and so on, up to the largest 5-digit number that is divisible by 9, which is 99,999.

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The Highest Common Factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 245 and 392, you would first factorize both numbers: 245 = 5 x 7 x 7 and 392 = 2 x 2 x 2 x 7 x 7. Then, identify the common factors between the two numbers, which are 7 and 7. Therefore, the HCF of 245 and 392 is 7 x 7 = 49.

540 = 2 x 2 x 3 x 3 x 3 x 5

The common multiples of 3 and 6 are numbers that can be divided evenly by both 3 and 6. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on. The multiples of 6 are 6, 12, 18, 24, 30, and so on. Therefore, the common multiples of 3 and 6 are numbers that appear in both lists, such as 6, 12, 18, 24, and 30.

To simplify the fraction 360/540, you need to find the greatest common factor (GCF) of both numbers, which is 180. Divide both the numerator and denominator by 180 to simplify the fraction. This results in 360/540 simplifying to 2/3.

The common factors of 35 and 60 are 1 and 5.

The first common multiple of 4, 5, and 10 is their least common multiple (LCM), which is the smallest number that is a multiple of all three numbers. The LCM of 4, 5, and 10 is 20. The next common multiple would be the next multiple of 20, which is 40. The third common multiple would be the next multiple of 20, which is 60.

To find the common multiples of 2, 3, and 9, we first need to list out the multiples of each number. The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and so on. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and so on. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, and so on. The first three common multiples of 2, 3, and 9 are 18, 36, and 54.

The factors of a number are integers that can be multiplied together to give the number. In this case, the number you are looking for must have 3 factors that sum up to 7. The only number that fits this criteria is 6, as its factors are 1, 2, and 3, which sum up to 6.

To find the greatest common factor (GCF) of two numbers, you need to determine the largest number that divides evenly into both numbers. To find the GCF of 510 and 2430, you can first list the factors of each number. The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, and 510. The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430. The greatest common factor of 510 and 2430 is 30.

To find the common factors of 123 and 555, we first need to determine the factors of each number. The factors of 123 are 1, 3, 41, and 123. The factors of 555 are 1, 3, 5, 15, 37, 111, and 555. The common factors of 123 and 555 are 1 and 3. Therefore, they have 2 common factors.

Oh, dude, 9 over 10 in simplest form is like, well, 9 over 10. That's already as simple as it gets. It's not like we can simplify it further without changing the value. So yeah, 9 over 10 is the simplest form of 9 over 10.

The prime factorization of 32 is 2^5, where 2 is the prime factor and 5 is the exponent. This means that 32 can be expressed as 2 multiplied by itself 5 times. In exponential form, this is written as 2^5.

The number 29 is a prime number, which means it only has two factors: 1 and 29. Prime numbers are numbers that are divisible only by 1 and themselves. In the case of 29, it cannot be divided evenly by any other numbers.

Well, darling, 380 can be equal to a lot of things depending on the context. It could be the sum of 190 and 190, the product of 38 and 10, or the result of subtracting 20 from 400. So, the possibilities are endless, just like my wit.

The Highest Common Factor (HCF) of 64 and 56 is 8. To find the HCF, you can determine the factors of both numbers: 64 (1, 2, 4, 8, 16, 32, 64) and 56 (1, 2, 4, 7, 8, 14, 28, 56). The largest number that appears in both lists is 8, making it the HCF of 64 and 56.

Well, isn't that a happy little math question! Let's see, to find two numbers that multiply together to make 192, we can think of different combinations like 12 and 16, or 8 and 24. Just remember, there are many possibilities, so don't be afraid to explore and find the right pair that fits perfectly like a brushstroke on a canvas. Happy calculating, my friend!

Oh, dude, you're hitting me with the math questions, huh? So, a number that's a factor of 1000 but not 10000 and is a multiple of both 50 and 8... Well, 40 fits the bill. It divides into 1000, but not into 10000, and it's the product of 50 and 8. Math can be fun, right?

A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In this case, 63 is a composite number because it can be divided evenly by 1, 3, 7, 9, 21, and 63. The other numbers listed (13, 61, and 31) are all prime numbers because they only have two distinct positive divisors, 1 and the number itself.

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The greatest common factor (GCF) of two numbers is the largest number that divides evenly into both numbers. In this case, the factors of 55 are 1, 5, 11, and 55. The factors of 5 are 1 and 5. The greatest common factor of 55 and 5 is 5, as it is the largest number that divides evenly into both 55 and 5.

132 = 2 x 2 x 3 x 11 = 22 x 3 x 11