Factoring and Multiples

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).

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.

It is: 14

Well, isn't that a happy little question! There are a few numbers that equal 49 when multiplied together. One pair is 7 and 7, because 7 multiplied by 7 equals 49. And remember, there are many ways to reach a beautiful number like 49, so keep exploring and enjoying the process!

The Greatest Common Factor of 45, 72 and 108 is 9.

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.

Oh, dude, the greatest common factor of 90, 60, and 150 is 30. It's like the cool kid at the math party that all three numbers can hang out with without any drama. So yeah, 30 is the GCF, the MVP of this math equation.

five

480 / 96 = 5

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.

Well, isn't that a happy little math problem we have here. To find the greatest common factor of 180, 270, and 900, we first need to find the factors of each number. Then, we look for the largest number that divides evenly into all three numbers. Let's paint a picture of this together, finding the common factors like a beautiful landscape coming together on our canvas.

It is: 70

The greatest common factor of 36 and 9 is 9. Therefore, we can factor out a 9 from the expression 36x + 9 to simplify it. This gives us 9(4x + 1) as the expression in terms of the greatest common factor.

Oh, dude, multiples are like friends at a party, they just keep showing up. So, between 49 and 95, the multiples of 2 are 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94. The multiples of 8 are 56, 64, 72, 80, 88. And the multiples of 16 are 64, 80. Hope you're not too overwhelmed by all these party guests!

5a + 5b = 5(a + b)

Well, honey, to get 60 as a factor of 12345, you simply divide 12345 by 60 and you get 205. So, 60 is a factor of 12345 because 60 multiplied by 205 equals 12345. And the fancy math term for that number 205 is a quotient. Hope that clears things up for ya, sugar!

Sure thing, honey. To find the factor tree of 275, you start by dividing it by the smallest prime number, which is 5. You get 5 x 55. Then you keep breaking down 55 until you hit prime numbers. So, the factor tree of 275 is 5 x 5 x 11. Voilà!

The factors of a number are the integers that can be multiplied together to produce that number. The factors of 1 are 1 itself. The factors of 2 are 1 and 2. The factors of 3 are 1 and 3. The factors of 4 are 1, 2, and 4. This pattern continues for numbers up to 100.

Prime factorization is the finding which prime number multiply to get to make the original number.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Prime Factors: 2, 3

Prime Factorization: 2 x 2 x 2 x 3

5 The nearest whole number is 5. When rounding to the nearest whole number, if the number following the decimal point is less than 5, the whole number remains the same, If the number following the decimal point is greater than 5, the nearest whole number is the next whole number.

The greatest common factor or the highest common factor is the highest number that divides exactly into two or more numbers.

52: 1, 2, 4, 13, 26, 51

156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

169: 1, 13, 169

The GCF of 52, 156 and 169 is 13.

Ah, the greatest common factor of 128 and 256 is 128. You see, the greatest common factor is the largest number that divides evenly into both numbers, and in this case, 128 is the biggest number that fits that description. Just imagine those numbers as happy little friends, sharing their common factor joyfully.

Half of 12.3 is 6.15. To find half of a number, you simply divide it by 2. In this case, 12.3 divided by 2 equals 6.15.

Oh, what a happy little question! Let's paint a picture of the multiples of 7 up to 126. We start with 7, then add 7 to get 14, then 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, and finally 126. Just like painting, math can be a beautiful and calming experience.

Well, honey, the common factors of eighty-eight are 1, 2, 4, 8, 11, 22, 44, and 88. So, if you're looking to divide eighty-eight into nice, even chunks, those are the numbers you'll wanna play with. Just remember, math doesn't have to be boring - embrace those factors like the sassy diva you are!

The greatest common factor (GCF) of 504 and 336 is the largest number that divides both 504 and 336 without leaving a remainder. To find the GCF, you can list the factors of each number and identify the highest common factor. The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, and 504. The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, and 336. The highest common factor between the two lists is 168, making the GCF of 504 and 336 equal to 168.