Q: What are the factor combinations of the number 32,160,073?

 A:
Positive:   1 x 3216007311 x 292364317 x 1891769187 x 171979229 x 140437751 x 428232519 x 127673893 x 8261
Negative: -1 x -32160073-11 x -2923643-17 x -1891769-187 x -171979-229 x -140437-751 x -42823-2519 x -12767-3893 x -8261


How do I find the factor combinations of the number 32,160,073?

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 32,160,073, 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 32,160,073
-1 -32,160,073

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 32,160,073.

Example:
1 x 32,160,073 = 32,160,073
and
-1 x -32,160,073 = 32,160,073
Notice both answers equal 32,160,073

With that explanation out of the way, let's continue. Next, we take the number 32,160,073 and divide it by 2:

32,160,073 ÷ 2 = 16,080,036.5

If the quotient is a whole number, then 2 and 16,080,036.5 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 32,160,073
-1 -32,160,073

Now, we try dividing 32,160,073 by 3:

32,160,073 ÷ 3 = 10,720,024.3333

If the quotient is a whole number, then 3 and 10,720,024.3333 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 32,160,073
-1 -32,160,073

Let's try dividing by 4:

32,160,073 ÷ 4 = 8,040,018.25

If the quotient is a whole number, then 4 and 8,040,018.25 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 32,160,073
-1 32,160,073
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872297512,5193,8938,26112,76742,823140,437171,9791,891,7692,923,64332,160,073
-1-11-17-187-229-751-2,519-3,893-8,261-12,767-42,823-140,437-171,979-1,891,769-2,923,643-32,160,073

More Examples

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