Q: What are the factor combinations of the number 4,840,013?

 A:
Positive:   1 x 484001329 x 16689747 x 10297953 x 9132167 x 722391363 x 35511537 x 31491943 x 2491
Negative: -1 x -4840013-29 x -166897-47 x -102979-53 x -91321-67 x -72239-1363 x -3551-1537 x -3149-1943 x -2491


How do I find the factor combinations of the number 4,840,013?

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 4,840,013, 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 4,840,013
-1 -4,840,013

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 4,840,013.

Example:
1 x 4,840,013 = 4,840,013
and
-1 x -4,840,013 = 4,840,013
Notice both answers equal 4,840,013

With that explanation out of the way, let's continue. Next, we take the number 4,840,013 and divide it by 2:

4,840,013 ÷ 2 = 2,420,006.5

If the quotient is a whole number, then 2 and 2,420,006.5 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 4,840,013
-1 -4,840,013

Now, we try dividing 4,840,013 by 3:

4,840,013 ÷ 3 = 1,613,337.6667

If the quotient is a whole number, then 3 and 1,613,337.6667 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 4,840,013
-1 -4,840,013

Let's try dividing by 4:

4,840,013 ÷ 4 = 1,210,003.25

If the quotient is a whole number, then 4 and 1,210,003.25 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 4,840,013
-1 4,840,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1294753671,3631,5371,9432,4913,1493,55172,23991,321102,979166,8974,840,013
-1-29-47-53-67-1,363-1,537-1,943-2,491-3,149-3,551-72,239-91,321-102,979-166,897-4,840,013

More Examples

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