Q: What are the factor combinations of the number 8,123,545?

 A:
Positive:   1 x 81235455 x 162470919 x 42755595 x 85511233 x 34865367 x 221351165 x 69731835 x 4427
Negative: -1 x -8123545-5 x -1624709-19 x -427555-95 x -85511-233 x -34865-367 x -22135-1165 x -6973-1835 x -4427


How do I find the factor combinations of the number 8,123,545?

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 8,123,545, 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 8,123,545
-1 -8,123,545

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 8,123,545.

Example:
1 x 8,123,545 = 8,123,545
and
-1 x -8,123,545 = 8,123,545
Notice both answers equal 8,123,545

With that explanation out of the way, let's continue. Next, we take the number 8,123,545 and divide it by 2:

8,123,545 ÷ 2 = 4,061,772.5

If the quotient is a whole number, then 2 and 4,061,772.5 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 8,123,545
-1 -8,123,545

Now, we try dividing 8,123,545 by 3:

8,123,545 ÷ 3 = 2,707,848.3333

If the quotient is a whole number, then 3 and 2,707,848.3333 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 8,123,545
-1 -8,123,545

Let's try dividing by 4:

8,123,545 ÷ 4 = 2,030,886.25

If the quotient is a whole number, then 4 and 2,030,886.25 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 8,123,545
-1 8,123,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952333671,1651,8354,4276,97322,13534,86585,511427,5551,624,7098,123,545
-1-5-19-95-233-367-1,165-1,835-4,427-6,973-22,135-34,865-85,511-427,555-1,624,709-8,123,545

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