Q: What are the factor combinations of the number 15,506,329?

 A:
Positive:   1 x 1550632917 x 91213729 x 53470171 x 218399443 x 35003493 x 314531207 x 128472059 x 7531
Negative: -1 x -15506329-17 x -912137-29 x -534701-71 x -218399-443 x -35003-493 x -31453-1207 x -12847-2059 x -7531


How do I find the factor combinations of the number 15,506,329?

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 15,506,329, 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 15,506,329
-1 -15,506,329

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 15,506,329.

Example:
1 x 15,506,329 = 15,506,329
and
-1 x -15,506,329 = 15,506,329
Notice both answers equal 15,506,329

With that explanation out of the way, let's continue. Next, we take the number 15,506,329 and divide it by 2:

15,506,329 ÷ 2 = 7,753,164.5

If the quotient is a whole number, then 2 and 7,753,164.5 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 15,506,329
-1 -15,506,329

Now, we try dividing 15,506,329 by 3:

15,506,329 ÷ 3 = 5,168,776.3333

If the quotient is a whole number, then 3 and 5,168,776.3333 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 15,506,329
-1 -15,506,329

Let's try dividing by 4:

15,506,329 ÷ 4 = 3,876,582.25

If the quotient is a whole number, then 4 and 3,876,582.25 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 15,506,329
-1 15,506,329
Keep dividing by the next highest number until you cannot divide anymore.

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

11729714434931,2072,0597,53112,84731,45335,003218,399534,701912,13715,506,329
-1-17-29-71-443-493-1,207-2,059-7,531-12,847-31,453-35,003-218,399-534,701-912,137-15,506,329

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