Q: What are the factor combinations of the number 15,216,929?

 A:
Positive:   1 x 152169297 x 217384713 x 117053319 x 80089191 x 167219133 x 114413169 x 90041247 x 61607677 x 224771183 x 128631729 x 88013211 x 4739
Negative: -1 x -15216929-7 x -2173847-13 x -1170533-19 x -800891-91 x -167219-133 x -114413-169 x -90041-247 x -61607-677 x -22477-1183 x -12863-1729 x -8801-3211 x -4739


How do I find the factor combinations of the number 15,216,929?

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 15,216,929, 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 15,216,929
-1 -15,216,929

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 15,216,929.

Example:
1 x 15,216,929 = 15,216,929
and
-1 x -15,216,929 = 15,216,929
Notice both answers equal 15,216,929

With that explanation out of the way, let's continue. Next, we take the number 15,216,929 and divide it by 2:

15,216,929 ÷ 2 = 7,608,464.5

If the quotient is a whole number, then 2 and 7,608,464.5 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 15,216,929
-1 -15,216,929

Now, we try dividing 15,216,929 by 3:

15,216,929 ÷ 3 = 5,072,309.6667

If the quotient is a whole number, then 3 and 5,072,309.6667 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 15,216,929
-1 -15,216,929

Let's try dividing by 4:

15,216,929 ÷ 4 = 3,804,232.25

If the quotient is a whole number, then 4 and 3,804,232.25 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 15,216,929
-1 15,216,929
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911331692476771,1831,7293,2114,7398,80112,86322,47761,60790,041114,413167,219800,8911,170,5332,173,84715,216,929
-1-7-13-19-91-133-169-247-677-1,183-1,729-3,211-4,739-8,801-12,863-22,477-61,607-90,041-114,413-167,219-800,891-1,170,533-2,173,847-15,216,929

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