Q: What are the factor combinations of the number 42,032,335?

 A:
Positive:   1 x 420323355 x 840646747 x 894305235 x 178861383 x 109745467 x 900051915 x 219492335 x 18001
Negative: -1 x -42032335-5 x -8406467-47 x -894305-235 x -178861-383 x -109745-467 x -90005-1915 x -21949-2335 x -18001


How do I find the factor combinations of the number 42,032,335?

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 42,032,335, 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 42,032,335
-1 -42,032,335

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 42,032,335.

Example:
1 x 42,032,335 = 42,032,335
and
-1 x -42,032,335 = 42,032,335
Notice both answers equal 42,032,335

With that explanation out of the way, let's continue. Next, we take the number 42,032,335 and divide it by 2:

42,032,335 ÷ 2 = 21,016,167.5

If the quotient is a whole number, then 2 and 21,016,167.5 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 42,032,335
-1 -42,032,335

Now, we try dividing 42,032,335 by 3:

42,032,335 ÷ 3 = 14,010,778.3333

If the quotient is a whole number, then 3 and 14,010,778.3333 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 42,032,335
-1 -42,032,335

Let's try dividing by 4:

42,032,335 ÷ 4 = 10,508,083.75

If the quotient is a whole number, then 4 and 10,508,083.75 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 42,032,335
-1 42,032,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15472353834671,9152,33518,00121,94990,005109,745178,861894,3058,406,46742,032,335
-1-5-47-235-383-467-1,915-2,335-18,001-21,949-90,005-109,745-178,861-894,305-8,406,467-42,032,335

More Examples

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