Q: What are the factor combinations of the number 15,265,369?

 A:
Positive:   1 x 152653697 x 218076789 x 171521107 x 142667229 x 66661623 x 24503749 x 203811603 x 9523
Negative: -1 x -15265369-7 x -2180767-89 x -171521-107 x -142667-229 x -66661-623 x -24503-749 x -20381-1603 x -9523


How do I find the factor combinations of the number 15,265,369?

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 15,265,369, 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 15,265,369
-1 -15,265,369

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 15,265,369.

Example:
1 x 15,265,369 = 15,265,369
and
-1 x -15,265,369 = 15,265,369
Notice both answers equal 15,265,369

With that explanation out of the way, let's continue. Next, we take the number 15,265,369 and divide it by 2:

15,265,369 ÷ 2 = 7,632,684.5

If the quotient is a whole number, then 2 and 7,632,684.5 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 15,265,369
-1 -15,265,369

Now, we try dividing 15,265,369 by 3:

15,265,369 ÷ 3 = 5,088,456.3333

If the quotient is a whole number, then 3 and 5,088,456.3333 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 15,265,369
-1 -15,265,369

Let's try dividing by 4:

15,265,369 ÷ 4 = 3,816,342.25

If the quotient is a whole number, then 4 and 3,816,342.25 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 15,265,369
-1 15,265,369
Keep dividing by the next highest number until you cannot divide anymore.

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

17891072296237491,6039,52320,38124,50366,661142,667171,5212,180,76715,265,369
-1-7-89-107-229-623-749-1,603-9,523-20,381-24,503-66,661-142,667-171,521-2,180,767-15,265,369

More Examples

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