Q: What are the factor combinations of the number 4,921,793?

 A:
Positive:   1 x 492179323 x 21399129 x 16971747 x 104719157 x 31349667 x 73791081 x 45531363 x 3611
Negative: -1 x -4921793-23 x -213991-29 x -169717-47 x -104719-157 x -31349-667 x -7379-1081 x -4553-1363 x -3611


How do I find the factor combinations of the number 4,921,793?

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 4,921,793, 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 4,921,793
-1 -4,921,793

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 4,921,793.

Example:
1 x 4,921,793 = 4,921,793
and
-1 x -4,921,793 = 4,921,793
Notice both answers equal 4,921,793

With that explanation out of the way, let's continue. Next, we take the number 4,921,793 and divide it by 2:

4,921,793 ÷ 2 = 2,460,896.5

If the quotient is a whole number, then 2 and 2,460,896.5 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 4,921,793
-1 -4,921,793

Now, we try dividing 4,921,793 by 3:

4,921,793 ÷ 3 = 1,640,597.6667

If the quotient is a whole number, then 3 and 1,640,597.6667 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 4,921,793
-1 -4,921,793

Let's try dividing by 4:

4,921,793 ÷ 4 = 1,230,448.25

If the quotient is a whole number, then 4 and 1,230,448.25 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 4,921,793
-1 4,921,793
Keep dividing by the next highest number until you cannot divide anymore.

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

12329471576671,0811,3633,6114,5537,37931,349104,719169,717213,9914,921,793
-1-23-29-47-157-667-1,081-1,363-3,611-4,553-7,379-31,349-104,719-169,717-213,991-4,921,793

More Examples

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