Q: What are the factor combinations of the number 32,953,739?

 A:
Positive:   1 x 329537397 x 470767713 x 253490383 x 39703391 x 362129581 x 567191079 x 305414363 x 7553
Negative: -1 x -32953739-7 x -4707677-13 x -2534903-83 x -397033-91 x -362129-581 x -56719-1079 x -30541-4363 x -7553


How do I find the factor combinations of the number 32,953,739?

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 32,953,739, 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 32,953,739
-1 -32,953,739

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 32,953,739.

Example:
1 x 32,953,739 = 32,953,739
and
-1 x -32,953,739 = 32,953,739
Notice both answers equal 32,953,739

With that explanation out of the way, let's continue. Next, we take the number 32,953,739 and divide it by 2:

32,953,739 ÷ 2 = 16,476,869.5

If the quotient is a whole number, then 2 and 16,476,869.5 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 32,953,739
-1 -32,953,739

Now, we try dividing 32,953,739 by 3:

32,953,739 ÷ 3 = 10,984,579.6667

If the quotient is a whole number, then 3 and 10,984,579.6667 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 32,953,739
-1 -32,953,739

Let's try dividing by 4:

32,953,739 ÷ 4 = 8,238,434.75

If the quotient is a whole number, then 4 and 8,238,434.75 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 32,953,739
-1 32,953,739
Keep dividing by the next highest number until you cannot divide anymore.

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

171383915811,0794,3637,55330,54156,719362,129397,0332,534,9034,707,67732,953,739
-1-7-13-83-91-581-1,079-4,363-7,553-30,541-56,719-362,129-397,033-2,534,903-4,707,677-32,953,739

More Examples

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