Q: What are the factor combinations of the number 32,426,141?

 A:
Positive:   1 x 3242614111 x 294783119 x 1706639113 x 286957209 x 1551491243 x 260871373 x 236172147 x 15103
Negative: -1 x -32426141-11 x -2947831-19 x -1706639-113 x -286957-209 x -155149-1243 x -26087-1373 x -23617-2147 x -15103


How do I find the factor combinations of the number 32,426,141?

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 32,426,141, 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 32,426,141
-1 -32,426,141

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 32,426,141.

Example:
1 x 32,426,141 = 32,426,141
and
-1 x -32,426,141 = 32,426,141
Notice both answers equal 32,426,141

With that explanation out of the way, let's continue. Next, we take the number 32,426,141 and divide it by 2:

32,426,141 ÷ 2 = 16,213,070.5

If the quotient is a whole number, then 2 and 16,213,070.5 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 32,426,141
-1 -32,426,141

Now, we try dividing 32,426,141 by 3:

32,426,141 ÷ 3 = 10,808,713.6667

If the quotient is a whole number, then 3 and 10,808,713.6667 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 32,426,141
-1 -32,426,141

Let's try dividing by 4:

32,426,141 ÷ 4 = 8,106,535.25

If the quotient is a whole number, then 4 and 8,106,535.25 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 32,426,141
-1 32,426,141
Keep dividing by the next highest number until you cannot divide anymore.

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

111191132091,2431,3732,14715,10323,61726,087155,149286,9571,706,6392,947,83132,426,141
-1-11-19-113-209-1,243-1,373-2,147-15,103-23,617-26,087-155,149-286,957-1,706,639-2,947,831-32,426,141

More Examples

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