Q: What are the factor combinations of the number 10,004,335?

 A:
Positive:   1 x 100043355 x 200086711 x 90948555 x 18189759 x 169565295 x 33913649 x 154153083 x 3245
Negative: -1 x -10004335-5 x -2000867-11 x -909485-55 x -181897-59 x -169565-295 x -33913-649 x -15415-3083 x -3245


How do I find the factor combinations of the number 10,004,335?

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 10,004,335, 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 10,004,335
-1 -10,004,335

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 10,004,335.

Example:
1 x 10,004,335 = 10,004,335
and
-1 x -10,004,335 = 10,004,335
Notice both answers equal 10,004,335

With that explanation out of the way, let's continue. Next, we take the number 10,004,335 and divide it by 2:

10,004,335 ÷ 2 = 5,002,167.5

If the quotient is a whole number, then 2 and 5,002,167.5 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 10,004,335
-1 -10,004,335

Now, we try dividing 10,004,335 by 3:

10,004,335 ÷ 3 = 3,334,778.3333

If the quotient is a whole number, then 3 and 3,334,778.3333 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 10,004,335
-1 -10,004,335

Let's try dividing by 4:

10,004,335 ÷ 4 = 2,501,083.75

If the quotient is a whole number, then 4 and 2,501,083.75 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 10,004,335
-1 10,004,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151155592956493,0833,24515,41533,913169,565181,897909,4852,000,86710,004,335
-1-5-11-55-59-295-649-3,083-3,245-15,415-33,913-169,565-181,897-909,485-2,000,867-10,004,335

More Examples

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