Q: What are the factor combinations of the number 13,837,565?

 A:
Positive:   1 x 138375655 x 27675137 x 197679535 x 39535959 x 234535295 x 46907413 x 335052065 x 6701
Negative: -1 x -13837565-5 x -2767513-7 x -1976795-35 x -395359-59 x -234535-295 x -46907-413 x -33505-2065 x -6701


How do I find the factor combinations of the number 13,837,565?

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 13,837,565, 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 13,837,565
-1 -13,837,565

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 13,837,565.

Example:
1 x 13,837,565 = 13,837,565
and
-1 x -13,837,565 = 13,837,565
Notice both answers equal 13,837,565

With that explanation out of the way, let's continue. Next, we take the number 13,837,565 and divide it by 2:

13,837,565 ÷ 2 = 6,918,782.5

If the quotient is a whole number, then 2 and 6,918,782.5 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 13,837,565
-1 -13,837,565

Now, we try dividing 13,837,565 by 3:

13,837,565 ÷ 3 = 4,612,521.6667

If the quotient is a whole number, then 3 and 4,612,521.6667 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 13,837,565
-1 -13,837,565

Let's try dividing by 4:

13,837,565 ÷ 4 = 3,459,391.25

If the quotient is a whole number, then 4 and 3,459,391.25 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 13,837,565
-1 13,837,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15735592954132,0656,70133,50546,907234,535395,3591,976,7952,767,51313,837,565
-1-5-7-35-59-295-413-2,065-6,701-33,505-46,907-234,535-395,359-1,976,795-2,767,513-13,837,565

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