Q: What are the factor combinations of the number 4,240,159?

 A:
Positive:   1 x 42401597 x 60573711 x 38546953 x 8000377 x 55067371 x 11429583 x 72731039 x 4081
Negative: -1 x -4240159-7 x -605737-11 x -385469-53 x -80003-77 x -55067-371 x -11429-583 x -7273-1039 x -4081


How do I find the factor combinations of the number 4,240,159?

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 4,240,159, 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 4,240,159
-1 -4,240,159

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 4,240,159.

Example:
1 x 4,240,159 = 4,240,159
and
-1 x -4,240,159 = 4,240,159
Notice both answers equal 4,240,159

With that explanation out of the way, let's continue. Next, we take the number 4,240,159 and divide it by 2:

4,240,159 ÷ 2 = 2,120,079.5

If the quotient is a whole number, then 2 and 2,120,079.5 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 4,240,159
-1 -4,240,159

Now, we try dividing 4,240,159 by 3:

4,240,159 ÷ 3 = 1,413,386.3333

If the quotient is a whole number, then 3 and 1,413,386.3333 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 4,240,159
-1 -4,240,159

Let's try dividing by 4:

4,240,159 ÷ 4 = 1,060,039.75

If the quotient is a whole number, then 4 and 1,060,039.75 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 4,240,159
-1 4,240,159
Keep dividing by the next highest number until you cannot divide anymore.

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

171153773715831,0394,0817,27311,42955,06780,003385,469605,7374,240,159
-1-7-11-53-77-371-583-1,039-4,081-7,273-11,429-55,067-80,003-385,469-605,737-4,240,159

More Examples

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