Factoring and Multiples

That's a null set. All multiples of 10 are even.

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 210 and 504, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 210 is 2 x 3 x 5 x 7, and the prime factorization of 504 is 2^3 x 3^2 x 7. To find the HCF, you take the common prime factors with the lowest exponents, which are 2 x 3 x 7 = 42. Therefore, the HCF of 210 and 504 is 42.

To find all multiples of 5 up to 500, we can use the formula for finding multiples of a number. The formula is: multiple = original number x n, where n is a positive integer. In this case, the original number is 5. So, the multiples of 5 up to 500 are 5, 10, 15, 20, 25, and so on, up to 500.

Oh, dude, the greatest common factor of 36, 48, and 30 is 6. It's like the cool kid that all these numbers can hang out with, you know? So, when you're looking for the biggest number that can divide all three of them without any leftovers, it's just 6. Easy peasy lemon squeezy.

Oh, what a happy little question! To find the highest common factor of 60, 75, and 100, we can first list the factors of each number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The factors of 75 are 1, 3, 5, 15, 25, and 75. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The highest common factor among them is 5.

Any multiple of 36.

Oh, dude, the greatest common factor of 34 and 60 is 2. Like, you take the factors of each number, which are 1, 2, 17, and 34 for 34, and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 for 60. Then you just pick the biggest one they have in common, which is 2. Easy peasy, lemon squeezy.

The least common multiple (LCM) of a set of numbers is the smallest multiple that is evenly divisible by all of the numbers in the set. To find the LCM of 15, you can factorize 15 into its prime factors, which are 3 and 5. The LCM of 15 would then be the product of these prime factors, which is 3 x 5 = 15. Therefore, the least common multiple of 15 is 15.

factor out both numbers until only prime numbers are left.

133=7*19

259=37*7

you would multiply together all the common factors, which in this case is just 7, to get the greatest common factor of 7

For 98, 154, 182 the GCF = 14

To find the Least Common Multiple (LCM) of 35, 60, and 100, we need to first find the prime factorization of each number. The prime factorization of 35 is 5 x 7, 60 is 2^2 x 3 x 5, and 100 is 2^2 x 5^2. Then, we take the highest power of each prime factor that appears in any of the factorizations: 2^2 x 3 x 5^2 x 7 = 2^2 x 3 x 5^2 x 7 = 4200. Therefore, the LCM of 35, 60, and 100 is 4200.

Well, honey, 37 and 50 can both evenly go into 1, because any number can be divided by 1. But if you're looking for something more exciting, they can also both go into 3700, since 3700 divided by 37 is 100 and 3700 divided by 50 is 74. Hope that satisfies your curiosity, sweetheart.

Well, The answer would have to be 40 because 8x5 equals 40. If you can't get the least common multiples using your personal strategy multiply the numbers you are using.

The factors of 19600 are the numbers that can be multiplied together to result in 19600. To find the factors, you would typically start by determining the prime factorization of 19600. This involves breaking down 19600 into its prime factors, which are 2, 2, 2, 5, 5, 7, 7. From there, you would combine these factors in different ways to find all the possible factors of 19600. In this case, the factors of 19600 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 200, 350, 700, 1400, and 19600.

Oh honey, you want the 7 times tables up to 200? Well, buckle up buttercup. Here we go: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196. There you have it, darling. Enjoy those multiples of 7 up to 200 like a kid in a candy store.

The greatest common factor (GCF) of 7, 42, and 70 is 7. To find the GCF, you need to identify the largest number that divides evenly into all three numbers. In this case, 7 is the largest number that can divide 7, 42, and 70 without leaving a remainder. Therefore, the GCF of 7, 42, and 70 is 7.

Numbers that can be divided evenly by 2 are known as even numbers. These numbers are divisible by 2 without leaving a remainder. Examples of even numbers include 2, 4, 6, 8, 10, and so on. Odd numbers, on the other hand, are not divisible by 2 and will always leave a remainder of 1 when divided by 2.

To determine if 90005 is divisible by a specific number, we need to check if the number divides evenly into 90005 without leaving a remainder. For example, to check if 90005 is divisible by 5, we would divide 90005 by 5. If the result is a whole number without a remainder, then 90005 is divisible by 5. Similarly, this process can be applied to other numbers such as 2, 3, 4, 6, 9, 10, and so on.

2 x 3 x 3 x 5 x 5 = 450

nine times the number 13 goes into 120

To find what equals 306 by multiplying, we can break down 306 into its prime factors. 306 = 2 x 3 x 3 x 17. Therefore, the numbers that equal 306 by multiplying are the combinations of these prime factors, such as 2 x 3 x 51, 2 x 9 x 17, 3 x 3 x 34, etc.

Oh, dude, 676 equals 676. Like, that's just basic math, you know? It's like asking what color is the sky. Easy peasy lemon squeezy.

252

The highest common factor of 48 64 and 80 is 16.

To find the factor tree of 100,000,000, we start by dividing it by its smallest prime factor, which is 2. This gives us 2 * 50,000,000. Next, we continue to factorize each number until we reach prime numbers. Continuing this process, we get 2 * 2 * 25,000,000 = 2^2 * 5,000,000 = 2^2 * 2 * 2,500,000 = 2^3 * 1,250,000 = 2^3 * 2 * 625,000 = 2^4 * 312,500 = 2^4 * 5^6. Therefore, the factor tree of 100,000,000 is 2^4 * 5^6.