Question

Rewrite the expression as a multiple of a sum of two numbers with no common factor 15+24 _____

Answer 1

To rewrite the expression as a multiple of a sum of two numbers with no common factor, find the prime factorizations of the given numbers and then multiply them together which brings the result as 39.

Step-by-step explanation:

To rewrite the expression as a multiple of a sum of two numbers with no common factor, we need to find two numbers that have no common factors and multiply them together. Let's find the prime factorizations of 15 and 24:

• 15: 3 × 5
• 24: 2 × 2 × 2 × 3

Now we can rewrite the expression as:

15 + 24 = (3 × 5) + (2 × 2 × 2 × 3) = 3 × (5 + 8) = 3 × 13 = 39

So, 15 + 24 can be written as a multiple of 3 × 13, which is 39.

Answer 2

To rewrite the expression as a multiple of a sum of two numbers with no common factor, we're supposed to find the greatest common factor between the terms and factor it out. We can see that both 15 and 24 are divisible by 3. So let's factor the 3 out. Since the 3 goes into 15 five times and into 24 eight times, the expression can be rewritten like this.

15 + 24 = 3(5 + 8)