Q: What are the factor combinations of the number 162,444,821?

 A:
Positive:   1 x 1624448217 x 2320640311 x 1476771177 x 2109673197 x 8245931379 x 1177992167 x 7496310709 x 15169
Negative: -1 x -162444821-7 x -23206403-11 x -14767711-77 x -2109673-197 x -824593-1379 x -117799-2167 x -74963-10709 x -15169


How do I find the factor combinations of the number 162,444,821?

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 162,444,821, 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.

1 162,444,821
-1 -162,444,821

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 162,444,821.

Example:
1 x 162,444,821 = 162,444,821
and
-1 x -162,444,821 = 162,444,821
Notice both answers equal 162,444,821

With that explanation out of the way, let's continue. Next, we take the number 162,444,821 and divide it by 2:

162,444,821 ÷ 2 = 81,222,410.5

If the quotient is a whole number, then 2 and 81,222,410.5 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:

1 162,444,821
-1 -162,444,821

Now, we try dividing 162,444,821 by 3:

162,444,821 ÷ 3 = 54,148,273.6667

If the quotient is a whole number, then 3 and 54,148,273.6667 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:

1 162,444,821
-1 -162,444,821

Let's try dividing by 4:

162,444,821 ÷ 4 = 40,611,205.25

If the quotient is a whole number, then 4 and 40,611,205.25 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:

1 162,444,821
-1 162,444,821
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771971,3792,16710,70915,16974,963117,799824,5932,109,67314,767,71123,206,403162,444,821
-1-7-11-77-197-1,379-2,167-10,709-15,169-74,963-117,799-824,593-2,109,673-14,767,711-23,206,403-162,444,821

More Examples

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