Q: What are the factor combinations of the number 8,947,345?

 A:
Positive:   1 x 89473455 x 178946911 x 81339523 x 38901555 x 162679115 x 77803121 x 73945253 x 35365605 x 14789643 x 139151265 x 70732783 x 3215
Negative: -1 x -8947345-5 x -1789469-11 x -813395-23 x -389015-55 x -162679-115 x -77803-121 x -73945-253 x -35365-605 x -14789-643 x -13915-1265 x -7073-2783 x -3215


How do I find the factor combinations of the number 8,947,345?

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 8,947,345, 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 8,947,345
-1 -8,947,345

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 8,947,345.

Example:
1 x 8,947,345 = 8,947,345
and
-1 x -8,947,345 = 8,947,345
Notice both answers equal 8,947,345

With that explanation out of the way, let's continue. Next, we take the number 8,947,345 and divide it by 2:

8,947,345 ÷ 2 = 4,473,672.5

If the quotient is a whole number, then 2 and 4,473,672.5 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 8,947,345
-1 -8,947,345

Now, we try dividing 8,947,345 by 3:

8,947,345 ÷ 3 = 2,982,448.3333

If the quotient is a whole number, then 3 and 2,982,448.3333 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 8,947,345
-1 -8,947,345

Let's try dividing by 4:

8,947,345 ÷ 4 = 2,236,836.25

If the quotient is a whole number, then 4 and 2,236,836.25 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 8,947,345
-1 8,947,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551151212536056431,2652,7833,2157,07313,91514,78935,36573,94577,803162,679389,015813,3951,789,4698,947,345
-1-5-11-23-55-115-121-253-605-643-1,265-2,783-3,215-7,073-13,915-14,789-35,365-73,945-77,803-162,679-389,015-813,395-1,789,469-8,947,345

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