Q: What are the factor combinations of the number 556,016,545?

 A:
Positive:   1 x 5560165455 x 1112033097 x 7943093535 x 1588618773 x 7616665365 x 1523333511 x 10880952555 x 217619
Negative: -1 x -556016545-5 x -111203309-7 x -79430935-35 x -15886187-73 x -7616665-365 x -1523333-511 x -1088095-2555 x -217619


How do I find the factor combinations of the number 556,016,545?

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 556,016,545, 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.

1 556,016,545
-1 -556,016,545

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 556,016,545.

Example:
1 x 556,016,545 = 556,016,545
and
-1 x -556,016,545 = 556,016,545
Notice both answers equal 556,016,545

With that explanation out of the way, let's continue. Next, we take the number 556,016,545 and divide it by 2:

556,016,545 ÷ 2 = 278,008,272.5

If the quotient is a whole number, then 2 and 278,008,272.5 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:

1 556,016,545
-1 -556,016,545

Now, we try dividing 556,016,545 by 3:

556,016,545 ÷ 3 = 185,338,848.3333

If the quotient is a whole number, then 3 and 185,338,848.3333 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:

1 556,016,545
-1 -556,016,545

Let's try dividing by 4:

556,016,545 ÷ 4 = 139,004,136.25

If the quotient is a whole number, then 4 and 139,004,136.25 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:

1 556,016,545
-1 556,016,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,555217,6191,088,0951,523,3337,616,66515,886,18779,430,935111,203,309556,016,545
-1-5-7-35-73-365-511-2,555-217,619-1,088,095-1,523,333-7,616,665-15,886,187-79,430,935-111,203,309-556,016,545

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