Q: What are the factor combinations of the number 32,031,001?

 A:
Positive:   1 x 3203100143 x 744907577 x 555131291 x 24811
Negative: -1 x -32031001-43 x -744907-577 x -55513-1291 x -24811


How do I find the factor combinations of the number 32,031,001?

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 32,031,001, 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 32,031,001
-1 -32,031,001

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 32,031,001.

Example:
1 x 32,031,001 = 32,031,001
and
-1 x -32,031,001 = 32,031,001
Notice both answers equal 32,031,001

With that explanation out of the way, let's continue. Next, we take the number 32,031,001 and divide it by 2:

32,031,001 ÷ 2 = 16,015,500.5

If the quotient is a whole number, then 2 and 16,015,500.5 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 32,031,001
-1 -32,031,001

Now, we try dividing 32,031,001 by 3:

32,031,001 ÷ 3 = 10,677,000.3333

If the quotient is a whole number, then 3 and 10,677,000.3333 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 32,031,001
-1 -32,031,001

Let's try dividing by 4:

32,031,001 ÷ 4 = 8,007,750.25

If the quotient is a whole number, then 4 and 8,007,750.25 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 32,031,001
-1 32,031,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1435771,29124,81155,513744,90732,031,001
-1-43-577-1,291-24,811-55,513-744,907-32,031,001

More Examples

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