Factoring and Multiples

That's the prime factorization of 1540.

Oh honey, let me lay it out for you. The common factors of 35 and 48 are 1 and 5. That's it, no more, no less. So, if you were hoping for something more exciting, I hate to burst your bubble, but math doesn't always have to be a thrill ride.

Well, honey, the two numbers that have a Greatest Common Factor (GCF) of 4 are any multiples of 4. So, for example, 4 and 8, 12 and 16, or even 20 and 24 would do the trick. Just pick any two numbers that both have 4 as a factor, and you're good to go.

The greatest common factor of 24 54 and 72 is 6.

Well, let's take a look at this happy little math problem. A factor is a number that can be multiplied to get another number. In this case, 6 divided by 42 leaves a remainder, so 42 is not a factor of 6. Just remember, there are no mistakes in math, just happy little accidents!

Oh, what a happy little question! To find the sum of the first 500 multiples of 3, we can use the formula for the sum of an arithmetic series: (n/2) * (first term + last term). In this case, the first term is 3 and the last term is 3 * 500. Plugging these values in, we get (500/2) * (3 + 1500) = 250 * 1503 = 375,750.

o resultado eh x=7

resolução;

X x 9 = 63

X = 63/9

X = 7

The greatest common factor of 12, 28, and 40 is 4

To find the greatest common factor of numbers, you first need to split these numbers into their prime factors:

12 = 2x2x3

28 = 2x2x7

40 = 2x2x2x2x5

You then need to find which prime factors are shared between the numbers. In this case, each of the numbers uses two 2s, but no other numbers are common between them. So to find the GCF we simply multiply two 2s:

2x2=4

Thus the GCF of 12, 28 and 40 is 4.

One of the fractions must have the denominator 8. The other could have a denominator of 2, 4 or 8.

Oh, dude, the greatest common factor of 112 and 136 is 8. It's like the number that you can divide both 112 and 136 by without any remainders, you know? So, if you ever need to find the GCF of those two numbers to impress your friends at a party, now you know.

H.C.F of 45 75 and 90

Right answer is 3×5=15

Oh, dude, the Greatest Common Factor (GCF) of 45, 75, and 120 is 15. Like, that's the biggest number that can divide all three of those numbers without leaving a remainder. So, if you ever need to split 45, 75, or 120 into equal groups without any leftovers, 15 is your go-to number.

There is not a least common multiple of a single number, such as 27, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common.

8, 8x8=64

so yes 8 can go into 64 a total of 8 times

To find the greatest common factor (GCF) of 34, 51, and 102, you need to first find the factors of each number. The factors of 34 are 1, 2, 17, and 34. The factors of 51 are 1, 3, 17, and 51. The factors of 102 are 1, 2, 3, 6, 17, 34, and 102. The GCF is the largest number that is a factor of all three numbers, which in this case is 17.

The Highest Common Factor (HCF) of 384 and 512 is the largest number that divides both 384 and 512 without leaving a remainder. To find the HCF, we first list the factors of each number: 384 factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384. 512 factors are 1, 2, 4, 8, 16, 32, 64, 128, 256, and 512. The largest number that appears in both lists is 64, so the HCF of 384 and 512 is 64.

The GCF is 12.

Listen up, honey! The greatest common factor for 36, 72, and 144 is 36. Why? Because it's the largest number that divides evenly into all three of those numbers. So, there you have it, simple as that!

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140

To find the least common multiple (LCM) of 40, 60, and 80, we first need to break down each number into its prime factors. The prime factorization of 40 is 2^3 * 5, 60 is 2^2 * 3 * 5, and 80 is 2^4 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^4 * 3 * 5 = 240. Therefore, the least common multiple of 40, 60, and 80 is 240.

The greatest common factor (GCF) of 42 and 70 is the largest number that divides evenly into both 42 and 70. To find the GCF, we first list the factors of each number: 42 (1, 2, 3, 6, 7, 14, 21, 42) and 70 (1, 2, 5, 7, 10, 14, 35, 70). The largest number that appears in both lists is 14, so the GCF of 42 and 70 is 14.

Oh, what a happy little question we have here! To find the greatest common factor of 8, 36, and 46, we can start by finding the factors of each number. The factors of 8 are 1, 2, 4, and 8. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. And the factors of 46 are 1, 2, 23, and 46. The greatest common factor among them is 2. Just a gentle reminder, there are no mistakes in math, just happy little calculations!

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 42 and 96 is 6

Alright, honey, let's cut to the chase. The greatest common factor (GCF) of 16, 18, and 30 is 2. Why? Because it's the largest number that can divide all three of those numbers without leaving a remainder. So, there you have it, 2 is the boss in this GCF showdown.

To find the greatest common factor (GCF) for 3, 4, and 6, we first need to list the factors of each number. The factors of 3 are 1 and 3, the factors of 4 are 1, 2, and 4, and the factors of 6 are 1, 2, 3, and 6. The common factor among these numbers is 1, which is the greatest common factor because it is the largest number that divides evenly into all three numbers. Therefore, the GCF for 3, 4, and 6 is 1.