Question

Write the sum of the numbers as a product of their GCF and another sum: 56 + 64 Write your answer in this EXACT format: #X(#+#)=#X#

Answer 1

To write the sum of the numbers as a product of their GCF and another sum, find the GCF of the numbers and then multiply it by their sum.

Step-by-step explanation:

To write the sum of the numbers as a product of their greatest common factor (GCF) and another sum, we need to find the GCF of 56 and 64 first. The prime factorization of 56 is 2 x 2 x 2 x 7, and the prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2. The common factors are 2 x 2 x 2 = 8. The GCF of 56 and 64 is 8.

Now, we can write the sum as a product of the GCF and another sum. The sum of 56 and 64 is 120. So, we can write it as: 8 x (56 + 64) = 8 x 120 = 960. Therefore, the sum of the numbers as a product of their GCF and another sum is 960.

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Answer 2

The sum of 56 + 64 expressed as a product of their greatest common factor (GCF) and another sum is 8X(7+8)=8X15. This format simplifies the sum by factoring out the GCF and representing it as a product alongside the sum of the reduced numbers.

Step-by-step explanation:

To express the sum of 56 and 64 as a product of their greatest common factor (GCF) and another sum, you first identify the GCF of the numbers 56 and 64, which is 8. To obtain the sum of 56 and 64, you divide each number by their GCF: 56 ÷ 8 = 7 and 64 ÷ 8 = 8. This translates the original numbers into multiples of their GCF, resulting in 8 times the sum of 7 and 8, as indicated by 8X(7+8).

Therefore, the product of the GCF (8) and the sum of the quotients (7+8) yields 8X15, providing the sum of 56 and 64 in a format where it's expressed as the product of their GCF and another sum.