Q: What are the factor combinations of the number 13,745,683?

 A:
Positive:   1 x 137456837 x 196366919 x 723457133 x 103351181 x 75943571 x 240731267 x 108493439 x 3997
Negative: -1 x -13745683-7 x -1963669-19 x -723457-133 x -103351-181 x -75943-571 x -24073-1267 x -10849-3439 x -3997


How do I find the factor combinations of the number 13,745,683?

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 13,745,683, 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 13,745,683
-1 -13,745,683

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 13,745,683.

Example:
1 x 13,745,683 = 13,745,683
and
-1 x -13,745,683 = 13,745,683
Notice both answers equal 13,745,683

With that explanation out of the way, let's continue. Next, we take the number 13,745,683 and divide it by 2:

13,745,683 ÷ 2 = 6,872,841.5

If the quotient is a whole number, then 2 and 6,872,841.5 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 13,745,683
-1 -13,745,683

Now, we try dividing 13,745,683 by 3:

13,745,683 ÷ 3 = 4,581,894.3333

If the quotient is a whole number, then 3 and 4,581,894.3333 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 13,745,683
-1 -13,745,683

Let's try dividing by 4:

13,745,683 ÷ 4 = 3,436,420.75

If the quotient is a whole number, then 4 and 3,436,420.75 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 13,745,683
-1 13,745,683
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331815711,2673,4393,99710,84924,07375,943103,351723,4571,963,66913,745,683
-1-7-19-133-181-571-1,267-3,439-3,997-10,849-24,073-75,943-103,351-723,457-1,963,669-13,745,683

More Examples

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