Q: What are the factor combinations of the number 32,140,325?

 A:
Positive:   1 x 321403255 x 64280657 x 459147525 x 128561335 x 91829549 x 655925175 x 183659245 x 1311851225 x 26237
Negative: -1 x -32140325-5 x -6428065-7 x -4591475-25 x -1285613-35 x -918295-49 x -655925-175 x -183659-245 x -131185-1225 x -26237


How do I find the factor combinations of the number 32,140,325?

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 32,140,325, 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 32,140,325
-1 -32,140,325

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 32,140,325.

Example:
1 x 32,140,325 = 32,140,325
and
-1 x -32,140,325 = 32,140,325
Notice both answers equal 32,140,325

With that explanation out of the way, let's continue. Next, we take the number 32,140,325 and divide it by 2:

32,140,325 ÷ 2 = 16,070,162.5

If the quotient is a whole number, then 2 and 16,070,162.5 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 32,140,325
-1 -32,140,325

Now, we try dividing 32,140,325 by 3:

32,140,325 ÷ 3 = 10,713,441.6667

If the quotient is a whole number, then 3 and 10,713,441.6667 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 32,140,325
-1 -32,140,325

Let's try dividing by 4:

32,140,325 ÷ 4 = 8,035,081.25

If the quotient is a whole number, then 4 and 8,035,081.25 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 32,140,325
-1 32,140,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22526,237131,185183,659655,925918,2951,285,6134,591,4756,428,06532,140,325
-1-5-7-25-35-49-175-245-1,225-26,237-131,185-183,659-655,925-918,295-1,285,613-4,591,475-6,428,065-32,140,325

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