Factoring and Multiples

Two numbers that equal 360,000 could be 300,000 and 60,000. This is because when you add 300,000 and 60,000 together, you get 360,000. Another pair of numbers that equal 360,000 could be 180,000 and 180,000, as adding these two numbers together also equals 360,000.

Oh, dude, factors are just numbers that you can multiply together to get the original number. So, for 8, you've got 1, 2, 4, and 8. For 20, you've got 1, 2, 4, 5, 10, and 20. And for 34, you've got 1, 2, 17, and 34. It's like a math party, man!

Well, there's no 2 integers that equal 83. But if you want decimal factors, you can use 41.5x2=83.

To find the greatest common factor (GCF) of 120, 320, and 440, we first need to find the prime factorization of each number.

120 = 2^3 * 3 * 5 320 = 2^6 * 5 440 = 2^3 * 5 * 11

Next, we identify the common factors among the three numbers, which are 2^3 and 5.

Therefore, the GCF of 120, 320, and 440 is 2^3 * 5, which equals 40.

what are four main soils used to classify soils

To factor the expression 4qr - qr^3, we first notice that both terms have a common factor of qr. We can factor out qr to get qr(4 - r^2). Next, we recognize that 4 - r^2 is a difference of squares, which can be factored further as (2 + r)(2 - r). Therefore, the fully factored form of 4qr - qr^3 is qr(2 + r)(2 - r).

7 is the gcf of 28 35 and 42

Oh, dude, the greatest common factor of 75x^3y^2 and 100xy is 25xy. Like, you just gotta find the largest number that divides both terms evenly, and in this case, it's 25xy. Easy peasy lemon squeezy.

44 = 22 x 111

36

Oh, dude, you're really into numbers, huh? Well, the factors of 5600 are 1, 2, 4, 5, 8, 10, 14, 16, 20, 25, 28, 40, 50, 56, 70, 80, 100, 112, 140, 200, 280, 400, 560, and 1120. That's like a whole party of factors right there.

Well, isn't that a happy little math question! The factor of -0.6 is -1.2, because when you multiply -1.2 by 0.5, you get -0.6. Remember, math is just like painting - sometimes you make a little mistake, but with some gentle adjustments, you can create a beautiful masterpiece.

To find the least common multiple (LCM) of 55, 75, and 115, we first need to factorize each number into its prime factors. The prime factorization of 55 is 5 x 11, 75 is 3 x 5 x 5, and 115 is 5 x 23. The LCM is the product of the highest power of all prime factors present in the factorization of each number. Therefore, the LCM of 55, 75, and 115 is 3 x 5 x 5 x 11 x 23 = 8625.

9*10

10*9

Oh, what a happy little math question! To find the least common multiple of 108 and 270, we first need to find their greatest common factor, which is 54. Then, we can use this to calculate the least common multiple by multiplying the two numbers and dividing by the greatest common factor. So, the least common multiple of 108 and 270 is 540. Just like painting a beautiful landscape, math can be a peaceful and rewarding experience when we take it step by step.

Well, honey, the least common multiple of a monomial like a^3s and s^2 is simply a^3s^2. You just gotta take the highest power of each variable that appears in either monomial, slap 'em together, and there you have it. Math made sassy.

Oh, dude, you want me to find the common factors of 36, 240, and 600? Like, okay, so the common factors are numbers that can divide all three of those numbers without leaving a remainder. So, the common factors of 36, 240, and 600 are 1, 2, 3, 4, 6, 12. Cool, right?

Oh, what a happy little question! To find a number divisible by 2, 3, 5, 6, and 10, we need to look for the least common multiple of these numbers. The smallest 3-digit number that fits the bill is 120. Just like painting a beautiful landscape, finding the right number takes patience and a gentle touch.

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Well, isn't that just a happy little question! When you have prime factors of 2, 3, and 5, you can simply multiply them together to find the composite number. So, 2 times 3 times 5 equals 30. That's your beautiful composite number right there, just waiting to be painted on the canvas of mathematics.

To find the Least Common Multiple (LCM) of these numbers, we first need to find the prime factorization of each number: 2450 = 2 * 5^2 * 7^2, 100 = 2^2 * 5^2, 980 = 2^2 * 5 * 7^2, and 350 = 2 * 5^2 * 7. The LCM is the product of the highest power of all prime factors present in the numbers, so LCM(2450, 100, 980, 350) = 2^2 * 5^2 * 7^2 = 4900.

3, 6, 15, 30

3 is a factor of 21 and it is not a multiple of 7.

Well, honey, the multiples of 4 between 20 and 40 are 24, 28, 32, and 36. So, if you're looking for some math fun, those are the numbers you need to play with. Now go forth and conquer those multiples like the math whiz you are!

The factors of 96 are the numbers that can be multiplied together to result in 96. These factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Factors always come in pairs, with one factor being less than or equal to the square root of the number, and the other factor being greater.