Q: What are the factor combinations of the number 104,352,835?

 A:
Positive:   1 x 1043528355 x 2087056767 x 1557505181 x 576535335 x 311501905 x 1153071721 x 606358605 x 12127
Negative: -1 x -104352835-5 x -20870567-67 x -1557505-181 x -576535-335 x -311501-905 x -115307-1721 x -60635-8605 x -12127


How do I find the factor combinations of the number 104,352,835?

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 104,352,835, 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.

1 104,352,835
-1 -104,352,835

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 104,352,835.

Example:
1 x 104,352,835 = 104,352,835
and
-1 x -104,352,835 = 104,352,835
Notice both answers equal 104,352,835

With that explanation out of the way, let's continue. Next, we take the number 104,352,835 and divide it by 2:

104,352,835 ÷ 2 = 52,176,417.5

If the quotient is a whole number, then 2 and 52,176,417.5 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:

1 104,352,835
-1 -104,352,835

Now, we try dividing 104,352,835 by 3:

104,352,835 ÷ 3 = 34,784,278.3333

If the quotient is a whole number, then 3 and 34,784,278.3333 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:

1 104,352,835
-1 -104,352,835

Let's try dividing by 4:

104,352,835 ÷ 4 = 26,088,208.75

If the quotient is a whole number, then 4 and 26,088,208.75 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:

1 104,352,835
-1 104,352,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15671813359051,7218,60512,12760,635115,307311,501576,5351,557,50520,870,567104,352,835
-1-5-67-181-335-905-1,721-8,605-12,127-60,635-115,307-311,501-576,535-1,557,505-20,870,567-104,352,835

More Examples

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