Factoring and Multiples

Oh, dude, the LCM of 26 and 39 is like the smallest number that both 26 and 39 can divide into evenly. It's like the party where everyone's invited, you know? So, the LCM of 26 and 39 is 78. Cool, right?

Well, isn't that a happy little math problem! To find two numbers that multiply to 525, we can think of them as factors of 525. One pair of numbers that works are 15 and 35, as 15 multiplied by 35 equals 525. Just like painting a beautiful landscape, sometimes all it takes is a little bit of patience and creativity to find the right combination.

The two numbers that form a product of 648 are 27 and 24. This is because 27 x 24 = 648. These numbers are factors of 648, as they evenly divide into 648 without leaving a remainder.

The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. Factors are numbers that can be multiplied together to give the original number.

Oh, dude, the least common multiple of 6, 20, and 8 is 120. It's like the smallest number that all three of those numbers can divide into evenly. So, if you're ever throwing a party with 6, 20, and 8 guests, you'll know you need at least 120 cupcakes to keep everyone happy.

Oh, dude, you're hitting me with the math questions, huh? Okay, so like, the prime factorization of 485 is 5 x 97. That's it. Pretty straightforward, right? Math can be chill sometimes.

To simplify 8 over 50, you need to find the greatest common factor of 8 and 50, which is 2. Divide both the numerator and denominator by 2 to get 4 over 25. Therefore, 8 over 50 simplified is 4 over 25.

It is: 2*2*5*5 = 100

2 x 2 x 5 x 5 equals 100. This can be calculated by multiplying 2 by 2 to get 4, and then multiplying that by 5 to get 20. Finally, multiplying 20 by 5 gives the result of 100.

Oh honey, let me break it down for you. The multiples of 15 between 100 and 140 are 105, 120, and 135. It's as simple as that, no need to complicate things. So go ahead and impress your friends with your newfound knowledge.

To find the prime factorization of 2808, we start by dividing it by the smallest prime number, which is 2. 2808 divided by 2 equals 1404. Continuing this process, we find that 1404 divided by 2 equals 702, and 702 divided by 2 equals 351. Further division gives us 351 divided by 3 equals 117, and 117 divided by 3 equals 39. Finally, 39 divided by 3 equals 13. Therefore, the prime factorization of 2808 is 2 x 2 x 2 x 3 x 3 x 13, or written as 2^3 x 3^2 x 13.

Well, honey, the greatest common factor of 12, 24, and 42 is 6. It's like finding the biggest number that can divide all three of those numbers without leaving a remainder. So, grab that calculator and divide away, you'll see I'm right.

Ah, finding the greatest common factor is like finding a happy little tree in a forest. For 36 and 81, we look for the largest number that can divide evenly into both. The greatest common factor for 36 and 81 is 9, like a gentle breeze on a sunny day.

Oh honey, the greatest common factor of 125 and 175 is 25. It's like finding the biggest number that both 125 and 175 can be divided by without any remainders. Math can be a real snooze fest, but hey, at least now you know!

Well, darling, the greatest common factor of 6 and 32 is 2. You see, 2 is the largest number that can divide both 6 and 32 without leaving a remainder. So, there you have it - 2 is the winner in this mathematical showdown.

64

Well, honey, to make a factor tree for 69, you'll need to break it down into its prime factors. 69 can be broken down into 3 and 23, which are both prime numbers. So, the factor tree for 69 would have 3 and 23 as its branches. Hope that clears things up for ya!

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

Check it.

30 x 42 = 1260

210 x 6 = 1260

It checks.

1/5 of 25 is equal to 25 divided by 5, which equals 5. This means that if you take one-fifth of the number 25, you are left with the value of 5.

To find two numbers that multiply to 644, we can factorize 644 into its prime factors: 2 x 2 x 7 x 23. From this, we can see that 2 x 322 equals 644, so the two numbers are 2 and 322.

1, 3 and 9

Oh, dude, the ratio of 24 to 48 is 1:2. It's like saying for every 1 part of 24, you got 2 parts of 48. So, if you had 24 cookies, your friend would have 48 cookies, which is a win-win situation if you ask me.

To find the greatest common factor (GCF) of 324, 180, and 120 using prime factorization, we first break down each number into its prime factors.

324 = 2^2 * 3^4 180 = 2^2 * 3^2 * 5 120 = 2^3 * 3 * 5

Next, we identify the common prime factors among the numbers: 2^2, 3, and 5.

Multiplying these common prime factors together, we get the GCF: 2^2 * 3 * 5 = 60.

Therefore, the GCF of 324, 180, and 120 using prime factorization is 60.

11 times

Oh, dude, you want me to do math? Fine, fine. So, like, numbers divisible by 3 under 100 would be 3, 6, 9, all the way up to 99. There you go, a list of numbers that can be divided by 3 without breaking a sweat.