Q: What are the factor combinations of the number 15,363,565?

 A:
Positive:   1 x 153635655 x 30727137 x 219479535 x 438959163 x 94255815 x 188511141 x 134652693 x 5705
Negative: -1 x -15363565-5 x -3072713-7 x -2194795-35 x -438959-163 x -94255-815 x -18851-1141 x -13465-2693 x -5705


How do I find the factor combinations of the number 15,363,565?

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 15,363,565, 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 15,363,565
-1 -15,363,565

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 15,363,565.

Example:
1 x 15,363,565 = 15,363,565
and
-1 x -15,363,565 = 15,363,565
Notice both answers equal 15,363,565

With that explanation out of the way, let's continue. Next, we take the number 15,363,565 and divide it by 2:

15,363,565 ÷ 2 = 7,681,782.5

If the quotient is a whole number, then 2 and 7,681,782.5 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 15,363,565
-1 -15,363,565

Now, we try dividing 15,363,565 by 3:

15,363,565 ÷ 3 = 5,121,188.3333

If the quotient is a whole number, then 3 and 5,121,188.3333 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 15,363,565
-1 -15,363,565

Let's try dividing by 4:

15,363,565 ÷ 4 = 3,840,891.25

If the quotient is a whole number, then 4 and 3,840,891.25 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 15,363,565
-1 15,363,565
Keep dividing by the next highest number until you cannot divide anymore.

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

157351638151,1412,6935,70513,46518,85194,255438,9592,194,7953,072,71315,363,565
-1-5-7-35-163-815-1,141-2,693-5,705-13,465-18,851-94,255-438,959-2,194,795-3,072,713-15,363,565

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