Q: What are the factor combinations of the number 9,672,575?

 A:
Positive:   1 x 96725755 x 193451511 x 87932517 x 56897525 x 38690355 x 17586585 x 113795187 x 51725275 x 35173425 x 22759935 x 103452069 x 4675
Negative: -1 x -9672575-5 x -1934515-11 x -879325-17 x -568975-25 x -386903-55 x -175865-85 x -113795-187 x -51725-275 x -35173-425 x -22759-935 x -10345-2069 x -4675


How do I find the factor combinations of the number 9,672,575?

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 9,672,575, 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 9,672,575
-1 -9,672,575

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 9,672,575.

Example:
1 x 9,672,575 = 9,672,575
and
-1 x -9,672,575 = 9,672,575
Notice both answers equal 9,672,575

With that explanation out of the way, let's continue. Next, we take the number 9,672,575 and divide it by 2:

9,672,575 ÷ 2 = 4,836,287.5

If the quotient is a whole number, then 2 and 4,836,287.5 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 9,672,575
-1 -9,672,575

Now, we try dividing 9,672,575 by 3:

9,672,575 ÷ 3 = 3,224,191.6667

If the quotient is a whole number, then 3 and 3,224,191.6667 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 9,672,575
-1 -9,672,575

Let's try dividing by 4:

9,672,575 ÷ 4 = 2,418,143.75

If the quotient is a whole number, then 4 and 2,418,143.75 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 9,672,575
-1 9,672,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259352,0694,67510,34522,75935,17351,725113,795175,865386,903568,975879,3251,934,5159,672,575
-1-5-11-17-25-55-85-187-275-425-935-2,069-4,675-10,345-22,759-35,173-51,725-113,795-175,865-386,903-568,975-879,325-1,934,515-9,672,575

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