Q: What are the factor combinations of the number 15,387,575?

 A:
Positive:   1 x 153875755 x 30775157 x 219822523 x 66902525 x 61550335 x 439645115 x 133805161 x 95575175 x 87929575 x 26761805 x 191153823 x 4025
Negative: -1 x -15387575-5 x -3077515-7 x -2198225-23 x -669025-25 x -615503-35 x -439645-115 x -133805-161 x -95575-175 x -87929-575 x -26761-805 x -19115-3823 x -4025


How do I find the factor combinations of the number 15,387,575?

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 15,387,575, 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 15,387,575
-1 -15,387,575

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 15,387,575.

Example:
1 x 15,387,575 = 15,387,575
and
-1 x -15,387,575 = 15,387,575
Notice both answers equal 15,387,575

With that explanation out of the way, let's continue. Next, we take the number 15,387,575 and divide it by 2:

15,387,575 ÷ 2 = 7,693,787.5

If the quotient is a whole number, then 2 and 7,693,787.5 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 15,387,575
-1 -15,387,575

Now, we try dividing 15,387,575 by 3:

15,387,575 ÷ 3 = 5,129,191.6667

If the quotient is a whole number, then 3 and 5,129,191.6667 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 15,387,575
-1 -15,387,575

Let's try dividing by 4:

15,387,575 ÷ 4 = 3,846,893.75

If the quotient is a whole number, then 4 and 3,846,893.75 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 15,387,575
-1 15,387,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1572325351151611755758053,8234,02519,11526,76187,92995,575133,805439,645615,503669,0252,198,2253,077,51515,387,575
-1-5-7-23-25-35-115-161-175-575-805-3,823-4,025-19,115-26,761-87,929-95,575-133,805-439,645-615,503-669,025-2,198,225-3,077,515-15,387,575

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