Question

What is the factored form of 2706 + 8912?
A) 117
B) 135
C) 136
D) 156

Answer 1

The factored form of 2706 + 8912 is 117.

Step-by-step explanation:

The factored form of 2706 + 8912 is 117.

Step-by-step explanation:

To find the factored form, we need to find the factors of each number and then combine them.

Finding the factors of 2706:

1. 2706 divided by 2 is 1353.
2. 1353 divided by 3 is 451.
3. 451 divided by 11 is 41.

So the factors of 2706 are 2 * 3 * 11 * 41.

Finding the factors of 8912:

1. 8912 divided by 2 is 4456.
2. 4456 divided by 2 is 2228.
3. 2228 divided by 2 is 1114.
4. 1114 divided by 2 is 557.
5. 557 divided by 7 is 79.

So the factors of 8912 are 2 * 2 * 2 * 2 * 7 * 79.

To combine the factors, we can pair up common factors between the two numbers:

• 2 * 2 = 4

So the factored form of 2706 + 8912 is 4 * (2 * 3 * 11 * 41 + 2 * 2 * 2 * 2 * 7 * 79).

Calculating the inner expression:

• 2 * 3 * 11 * 41 + 2 * 2 * 2 * 2 * 7 * 79 = 1266 + 7904 = 9170.

So the factored form is 4 * 9170 = 36680.