Using the greatest common factor for one term, how can you write 16 + 14 as a product?(1 point)
1. 8(5 + 1)
2. 9(2 +5)
3. 7(8 + 1)
4. 2(8 + 7)
The greatest common factor of 16 and 14 is 2. To write 16 + 14 as a product, we can factor out the greatest common factor and rewrite it as: 2(8 + 7), which is option 4.
To find the greatest common factor (GCF) of 16 and 14, we first need to list the factors of both numbers:
Factors of 16: 1, 2, 4, 8, 16
Factors of 14: 1, 2, 7, 14
The common factors of 16 and 14 are 1 and 2. Since 2 is the greatest common factor, we can write 16 + 14 as a product by factoring out the GCF:
2(8 + 7)
Therefore, the correct answer is option 4: 2(8 + 7).
To find the answer, we need to find the greatest common factor (GCF) of 16 and 14, and then write the sum as a product.
1. Let's find the GCF of 16 and 14:
The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 14 are 1, 2, 7, and 14.
The GCF is the largest number that divides both 16 and 14 without leaving a remainder. In this case, the GCF is 2.
2. Now let's write the sum as a product using the GCF of 2:
We can rewrite the expression 16 + 14 as:
2(8 + 7)
Therefore, the answer is 4. 2(8 + 7).