Factoring and Multiples

Well, sweetheart, the sum of 15, 15, and 75 is 105. Simple math, darling. Now go out there and show off your addition skills like the math wizard you are.

To find the greatest common factor (GCF) of 57, 39, and 15, we need to first find the factors of each number. The factors of 57 are 1, 3, 19, and 57. The factors of 39 are 1, 3, 13, and 39. The factors of 15 are 1, 3, 5, and 15. The common factor among all three numbers is 3, making it the greatest common factor.

To express 105 x 294 as a product of prime factors, first factorize both numbers individually.

105 = 3 x 5 x 7 294 = 2 x 3 x 7 x 7

Then multiply the prime factors together to get the prime factorization of the product:

105 x 294 = (3 x 5 x 7) x (2 x 3 x 7 x 7) = 2 x 3^2 x 5 x 7^2

The least common multiple (LCM) of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM of x and 3x is the smallest multiple that can be divided evenly by both x and 3x. Since 3x is a multiple of x (3 times x), the LCM of x and 3x would simply be 3x.

To determine if 2940 is divisible by a number, we need to check if it can be divided evenly by that number without leaving a remainder. 2940 is divisible by 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

Well, isn't that a happy little question! Anything that can be divided evenly by 326 is divisible by it. You can find numbers like 326, 652, 978, and so on that fit this pattern. Just like painting a beautiful landscape, numbers can be divided in many different ways, each one unique and special.

The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the GCF of 19 and 78, you can list the factors of each number: 19 (1, 19) and 78 (1, 2, 3, 6, 13, 26, 39, 78). The only common factor between 19 and 78 is 1, making the GCF of 19 and 78 equal to 1.

Oh, dude, the greatest common factor of 50 and 80 is like the biggest number that can divide both of them evenly. So, you look at the factors of 50 (1, 2, 5, 10, 25, 50) and the factors of 80 (1, 2, 4, 8, 16, 40, 80) and the biggest number they have in common is 10. So, the greatest common factor of 50 and 80 is 10. Easy peasy, right?

"Greatest common factor" and "least common multiple" only give useful information for more than one number. The greatest common factor of any number would be the same number - in this case, 275.

Oh, dude, you're really making me use my brain cells for this one. So, between 1 and 100, there are no even numbers that are multiples of 3. I mean, like, it's just not a thing. So, the answer is a big fat zero. But hey, at least now you know, right?

five. 5/15 = 1/3

28 = 2 x 2 x 7

63 = 3 x 3 x 7

91 = 7 x 13

7 is the only common factor so is the highest common factor

Well, let's take a moment to appreciate the beauty of numbers. The factors of 15 are 1, 3, 5, and 15. And the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Isn't it wonderful how numbers can be broken down into smaller parts that work together harmoniously?

Well, honey, the least common multiple of 2, 12, and 16 is 48. You take the highest power of each prime number that appears in the factorization of each number, and then multiply them all together. Voilà, you've got your answer!

Some common milestones that toddlers typically reach between the ages of 12 to 36 months include walking independently, saying their first words, following simple instructions, showing interest in playing with other children, and beginning to show signs of potty training readiness.

Alright, buckle up buttercup. The greatest common factor of 63, 81, and 72 is 9. That's right, 9 is the big winner here. So, next time you're staring at a bunch of numbers, just remember that good ol' 9 is there to save the day.

The greatest common factor (GCF) of 9, 15, and 24 is 3. To find the GCF, you need to determine the factors of each number and then identify the largest factor that is common to all three numbers. In this case, the factors of 9 are 1, 3, and 9; the factors of 15 are 1, 3, 5, and 15; and the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest factor that is common to all three numbers is 3, making it the greatest common factor.

Oh, dude, you're hitting me with some math here! So, like, the two prime numbers that multiply to make 91 are 7 and 13. Yeah, it's like a little math puzzle, but hey, I got your back on this one!

No, 9 is not a prime number because it has factors other than 1 and itself. In this case, 9 is a factor of 18 because 9 multiplied by 2 equals 18. Prime numbers are numbers that have exactly two factors, 1 and the number itself, while factors are numbers that can be multiplied together to get the original number.

To find the greatest common factor (GCF) of 63, 36, and 45, we need to determine the largest number that divides evenly into all three numbers. First, we find the factors of each number: 63 (1, 3, 7, 9, 21, 63), 36 (1, 2, 3, 4, 6, 9, 12, 18, 36), and 45 (1, 3, 5, 9, 15, 45). The GCF is the largest number that appears in all three lists, which is 9. Therefore, the greatest common factor of 63, 36, and 45 is 9.

Oh, what a happy little question! When we look for multiples of 5 in even numbers, we simply need to find numbers that are divisible by both 5 and 2. So, multiples of 5 in even numbers would be numbers like 10, 20, 30, and so on. Just like painting a beautiful landscape, finding patterns in numbers can be quite a joyful experience!

Oh, dude, factors of 33? Like, okay, let me think... So, factors are numbers that divide into another number without leaving a remainder. For 33, you've got 1 and 33, then 3 and 11. That's it, that's the list. So, like, there you go, those are the factors of 33.

To find 5 x 3, you multiply 5 by 3, which equals 15. Adding 3 more to 15 gives you a total of 18. So, 3 more than 5 x 3 is 18.