Q: What are the factor combinations of the number 15,371,609?

 A:
Positive:   1 x 1537160911 x 139741967 x 229427737 x 20857
Negative: -1 x -15371609-11 x -1397419-67 x -229427-737 x -20857


How do I find the factor combinations of the number 15,371,609?

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 15,371,609, 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 15,371,609
-1 -15,371,609

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 15,371,609.

Example:
1 x 15,371,609 = 15,371,609
and
-1 x -15,371,609 = 15,371,609
Notice both answers equal 15,371,609

With that explanation out of the way, let's continue. Next, we take the number 15,371,609 and divide it by 2:

15,371,609 ÷ 2 = 7,685,804.5

If the quotient is a whole number, then 2 and 7,685,804.5 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 15,371,609
-1 -15,371,609

Now, we try dividing 15,371,609 by 3:

15,371,609 ÷ 3 = 5,123,869.6667

If the quotient is a whole number, then 3 and 5,123,869.6667 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 15,371,609
-1 -15,371,609

Let's try dividing by 4:

15,371,609 ÷ 4 = 3,842,902.25

If the quotient is a whole number, then 4 and 3,842,902.25 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 15,371,609
-1 15,371,609
Keep dividing by the next highest number until you cannot divide anymore.

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

1116773720,857229,4271,397,41915,371,609
-1-11-67-737-20,857-229,427-1,397,419-15,371,609

More Examples

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