Q: What are the factor combinations of the number 42,056,203?

 A:
Positive:   1 x 420562037 x 600802959 x 71281779 x 532357413 x 101831553 x 760511289 x 326274661 x 9023
Negative: -1 x -42056203-7 x -6008029-59 x -712817-79 x -532357-413 x -101831-553 x -76051-1289 x -32627-4661 x -9023


How do I find the factor combinations of the number 42,056,203?

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 42,056,203, 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 42,056,203
-1 -42,056,203

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 42,056,203.

Example:
1 x 42,056,203 = 42,056,203
and
-1 x -42,056,203 = 42,056,203
Notice both answers equal 42,056,203

With that explanation out of the way, let's continue. Next, we take the number 42,056,203 and divide it by 2:

42,056,203 ÷ 2 = 21,028,101.5

If the quotient is a whole number, then 2 and 21,028,101.5 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 42,056,203
-1 -42,056,203

Now, we try dividing 42,056,203 by 3:

42,056,203 ÷ 3 = 14,018,734.3333

If the quotient is a whole number, then 3 and 14,018,734.3333 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 42,056,203
-1 -42,056,203

Let's try dividing by 4:

42,056,203 ÷ 4 = 10,514,050.75

If the quotient is a whole number, then 4 and 10,514,050.75 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 42,056,203
-1 42,056,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1759794135531,2894,6619,02332,62776,051101,831532,357712,8176,008,02942,056,203
-1-7-59-79-413-553-1,289-4,661-9,023-32,627-76,051-101,831-532,357-712,817-6,008,029-42,056,203

More Examples

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