Q: What are the factor combinations of the number 4,940,845?

 A:
Positive:   1 x 49408455 x 9881697 x 70583513 x 38006535 x 14116765 x 7601391 x 54295455 x 10859
Negative: -1 x -4940845-5 x -988169-7 x -705835-13 x -380065-35 x -141167-65 x -76013-91 x -54295-455 x -10859


How do I find the factor combinations of the number 4,940,845?

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 4,940,845, 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 4,940,845
-1 -4,940,845

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 4,940,845.

Example:
1 x 4,940,845 = 4,940,845
and
-1 x -4,940,845 = 4,940,845
Notice both answers equal 4,940,845

With that explanation out of the way, let's continue. Next, we take the number 4,940,845 and divide it by 2:

4,940,845 ÷ 2 = 2,470,422.5

If the quotient is a whole number, then 2 and 2,470,422.5 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 4,940,845
-1 -4,940,845

Now, we try dividing 4,940,845 by 3:

4,940,845 ÷ 3 = 1,646,948.3333

If the quotient is a whole number, then 3 and 1,646,948.3333 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 4,940,845
-1 -4,940,845

Let's try dividing by 4:

4,940,845 ÷ 4 = 1,235,211.25

If the quotient is a whole number, then 4 and 1,235,211.25 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 4,940,845
-1 4,940,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145510,85954,29576,013141,167380,065705,835988,1694,940,845
-1-5-7-13-35-65-91-455-10,859-54,295-76,013-141,167-380,065-705,835-988,169-4,940,845

More Examples

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