Q: What are the factor combinations of the number 556,338,685?

 A:
Positive:   1 x 5563386855 x 1112677377 x 7947695517 x 3272580535 x 1589539185 x 6545161119 x 4675115595 x 935023
Negative: -1 x -556338685-5 x -111267737-7 x -79476955-17 x -32725805-35 x -15895391-85 x -6545161-119 x -4675115-595 x -935023


How do I find the factor combinations of the number 556,338,685?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 556,338,685, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 556,338,685
-1 -556,338,685

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 556,338,685.

Example:
1 x 556,338,685 = 556,338,685
and
-1 x -556,338,685 = 556,338,685
Notice both answers equal 556,338,685

With that explanation out of the way, let's continue. Next, we take the number 556,338,685 and divide it by 2:

556,338,685 ÷ 2 = 278,169,342.5

If the quotient is a whole number, then 2 and 278,169,342.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 556,338,685
-1 -556,338,685

Now, we try dividing 556,338,685 by 3:

556,338,685 ÷ 3 = 185,446,228.3333

If the quotient is a whole number, then 3 and 185,446,228.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 556,338,685
-1 -556,338,685

Let's try dividing by 4:

556,338,685 ÷ 4 = 139,084,671.25

If the quotient is a whole number, then 4 and 139,084,671.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 556,338,685
-1 556,338,685
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157173585119595935,0234,675,1156,545,16115,895,39132,725,80579,476,955111,267,737556,338,685
-1-5-7-17-35-85-119-595-935,023-4,675,115-6,545,161-15,895,391-32,725,805-79,476,955-111,267,737-556,338,685

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