Find two factors of 28 with a sum of 11.

Find the prime factorization of 330?

Find the greatest common factor for each of the following groups of numbers. 36, 72, and 144

Scooby -- surely you can figure out the first answer.

Give it a try!

Find two factors of 28 with a sum of 11.

is it 1,2?

Find the prime factorization of 330?
is it 3, 110?

Scooby, for #1, do 1 and 2 add to 11 as the problem states?

For #2, isn't 110 divisible by something, say 2?

i don't understand how to do these sorry

so would the answer for #1 be 5 and 6 or 7 and 4?

Well, lets see. We want two factors of 28 that add to 11. Your answer of 7 and 4 gives 28 if multiplied and 11 if added. 6 and 5 gives 11 if added but not 28 if multiplied. So....

To find two factors of 28 with a sum of 11, we can start by listing the factors of 28: 1, 2, 4, 7, 14, and 28. We can then check which pair of factors adds up to 11. In this case, the pair of factors is 4 and 7 since 4 + 7 = 11.

To find the prime factorization of 330, we can start by dividing the number by the smallest prime number, which is 2. We find that 330 divided by 2 equals 165. We continue dividing the result by prime numbers until we reach 1:

330 ÷ 2 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11

Now, we have reached 11, which is a prime number. The prime factorization of 330 is 2 × 3 × 5 × 11.

To find the greatest common factor (GCF) for the numbers 36, 72, and 144, we can start by listing the factors of each number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

To find the greatest common factor, we need to identify the largest number that appears in all three lists of factors. In this case, the greatest common factor for 36, 72, and 144 is 36, since it is the largest number that appears in all three lists.

Therefore, the greatest common factor of 36, 72, and 144 is 36.