Factoring and Multiples

Oh, dude, 7 goes into 16807. It's like the only number that can divide 16807 evenly without leaving a remainder. So, if you're looking to break down 16807 into smaller, more manageable pieces, 7 is your go-to guy.

To find the Highest Common Factor (HCF) of 42, 77, and 84, you first need to find the prime factors of each number. The prime factors of 42 are 2, 3, and 7. The prime factors of 77 are 7 and 11. The prime factors of 84 are 2, 3, and 7. To find the HCF, you need to identify the common prime factors and multiply them together. In this case, the HCF of 42, 77, and 84 is 7.

The factors of 550 are numbers that can be multiplied together to give the product 550. The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550. Prime factors are factors that are prime numbers, which means they can only be divided by 1 and themselves. The prime factors of 550 are 2, 5, and 11.

The highest common factor (HCF) of 210 and 147 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then using the remainder as the new divisor in the next iteration. Continuing this process, you find that the HCF of 210 and 147 is 21.

Oh honey, I love a good math problem. The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12. Those two numbers have more in common than just being multiples of 6 – they also share these factors. Math can be fun when you know where to look!

Yes 9 is a factor of 504. Because9*56 is 504.

The greatest common factor (GCF) of 3 and 49 is 1. This is because the only positive integer that divides both 3 and 49 without leaving a remainder is 1. In other words, 1 is the largest number that both 3 and 49 can be evenly divided by.

The sequence appears to be increasing at a variable rate. The pattern seems to be adding 1, then 3, then 5, then 10. Following this pattern, the next number in the sequence would be 20 + 15, which equals 35.

To find a pair of numbers with a least common multiple of 20 and a greatest common factor of 2, we need to consider the prime factorization of 20, which is 2^2 * 5. The greatest common factor of 2 means that the two numbers must have a common factor of 2. Therefore, a pair of numbers that satisfies these conditions is 4 and 10, as their least common multiple is 20 (2^2 * 5) and their greatest common factor is 2.

The factors of a number are the integers that can be multiplied together to result in that number. For numbers 1 to 200, the factors will vary depending on the number itself. For example, the factors of 1 are 1, while the factors of a prime number like 2 are only 1 and 2. The factors of a composite number like 12 are 1, 2, 3, 4, 6, and 12. To find all the factors of each number from 1 to 200, you would need to perform factorization for each individual number.

The GCF is 9.

In the number 36, the digit 3 is in the tens place. This means that the value of the digit 3 is actually 30, as it represents 3 tens or 3 groups of 10. The value of a digit in a number is determined by its position in the number relative to the place value system, where each place represents a power of 10.

Well, isn't that just a happy little question! To find the LCM of 84 and 360 using prime factorization, we first break down each number into its prime factors. For 84, that's 2^2 * 3 * 7, and for 360, it's 2^3 * 3^2 * 5. Then, we take the highest power of each prime factor that appears in either number, which gives us 2^3 * 3^2 * 5 * 7, resulting in an LCM of 2,520.

Well, honey, 4950 is divisible by 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450, and of course, itself. So, there you have it, a whole bunch of divisors for your mathematical enjoyment.

Well, darling, the estimate of 512 is around 500. I mean, it's not rocket science, just round that bad boy to the nearest hundred and call it a day. Math doesn't have to be a headache, honey.

Well, honey, 178 can be divided by 1, 2, 89, and 178 itself. That's it, no more, no less. So, if you were hoping for some exciting divisors, I'm sorry to disappoint. But hey, at least you know the facts now.

To find the common factors of 8 and 12, we first list the factors of each number. The factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The common factors are 1, 2, and 4. To find the sum of these common factors, we add them together: 1 + 2 + 4 = 7. So, the sum of all the common factors of 8 and 12 is 7.

Oh, dude, you're hitting me with the math questions! Alright, so 84 cubed is 592,704. To break it down into prime factors, you'd be like, "Hey, 2, 3, and 7, what's up?" And they'd be like, "We're the prime factors of 592,704, bro." So, in index form, it would be 2^6 x 3^3 x 7^2. Easy peasy, lemon squeezy!

5^2

If you're not afraid of working with fractions or decimals, then there are an infinite number of

possibilities. Even if you only want to talk about positive whole numbers, and you can only handle

two of them at a time, there are still several possibilities:

1 x 375

3 x 125

5 x 75

15 x 25 .

Oh, dude, the greatest common factor is the largest number that divides evenly into both 12 and 18, which in this case is 6. The least common multiple, on the other hand, is the smallest multiple that both 12 and 18 share, which in this case is 36. So, like, one's about sharing factors and the other's about sharing multiples, you know?

To find the numbers that multiply to get 1680, we need to factorize 1680. The prime factorization of 1680 is 2^4 * 3 * 5 * 7. Therefore, the numbers that multiply to get 1680 are 2, 2, 2, 2, 3, 5, and 7.

Oh, dude, math time! So, if 3 1/2 bags of seed cost $35, then each bag costs $10. Now, if you want to know what 4 1/2 bags will cost, just add another $10 for the extra bag. So, 4 1/2 bags will cost $45. Easy peasy, lemon squeezy!

The multiples of five up to 2000 are numbers that can be divided evenly by 5. To find these multiples, you can start with 5 and continue adding 5 to the previous number. The multiples of five up to 2000 are 5, 10, 15, 20, 25, and so on, up to 2000.

Oh, dude, let me break it down for you. So, from least to greatest, it goes like this: -8, -5, 0, 3, 4. Easy peasy lemon squeezy. Hope that helps!