Q: What are the factor combinations of the number 15,167,009?

 A:
Positive:   1 x 1516700911 x 137881913 x 116669317 x 892177143 x 106063187 x 81107221 x 68629289 x 52481367 x 413272431 x 62393179 x 47713757 x 4037
Negative: -1 x -15167009-11 x -1378819-13 x -1166693-17 x -892177-143 x -106063-187 x -81107-221 x -68629-289 x -52481-367 x -41327-2431 x -6239-3179 x -4771-3757 x -4037


How do I find the factor combinations of the number 15,167,009?

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 15,167,009, 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 15,167,009
-1 -15,167,009

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 15,167,009.

Example:
1 x 15,167,009 = 15,167,009
and
-1 x -15,167,009 = 15,167,009
Notice both answers equal 15,167,009

With that explanation out of the way, let's continue. Next, we take the number 15,167,009 and divide it by 2:

15,167,009 ÷ 2 = 7,583,504.5

If the quotient is a whole number, then 2 and 7,583,504.5 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 15,167,009
-1 -15,167,009

Now, we try dividing 15,167,009 by 3:

15,167,009 ÷ 3 = 5,055,669.6667

If the quotient is a whole number, then 3 and 5,055,669.6667 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 15,167,009
-1 -15,167,009

Let's try dividing by 4:

15,167,009 ÷ 4 = 3,791,752.25

If the quotient is a whole number, then 4 and 3,791,752.25 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 15,167,009
-1 15,167,009
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171431872212893672,4313,1793,7574,0374,7716,23941,32752,48168,62981,107106,063892,1771,166,6931,378,81915,167,009
-1-11-13-17-143-187-221-289-367-2,431-3,179-3,757-4,037-4,771-6,239-41,327-52,481-68,629-81,107-106,063-892,177-1,166,693-1,378,819-15,167,009

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