Q: What are the factor combinations of the number 104,662,159?

 A:
Positive:   1 x 1046621597 x 1495173737 x 2828707101 x 1036259259 x 404101707 x 1480373737 x 280074001 x 26159
Negative: -1 x -104662159-7 x -14951737-37 x -2828707-101 x -1036259-259 x -404101-707 x -148037-3737 x -28007-4001 x -26159


How do I find the factor combinations of the number 104,662,159?

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 104,662,159, 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.

1 104,662,159
-1 -104,662,159

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 104,662,159.

Example:
1 x 104,662,159 = 104,662,159
and
-1 x -104,662,159 = 104,662,159
Notice both answers equal 104,662,159

With that explanation out of the way, let's continue. Next, we take the number 104,662,159 and divide it by 2:

104,662,159 ÷ 2 = 52,331,079.5

If the quotient is a whole number, then 2 and 52,331,079.5 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:

1 104,662,159
-1 -104,662,159

Now, we try dividing 104,662,159 by 3:

104,662,159 ÷ 3 = 34,887,386.3333

If the quotient is a whole number, then 3 and 34,887,386.3333 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:

1 104,662,159
-1 -104,662,159

Let's try dividing by 4:

104,662,159 ÷ 4 = 26,165,539.75

If the quotient is a whole number, then 4 and 26,165,539.75 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:

1 104,662,159
-1 104,662,159
Keep dividing by the next highest number until you cannot divide anymore.

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

17371012597073,7374,00126,15928,007148,037404,1011,036,2592,828,70714,951,737104,662,159
-1-7-37-101-259-707-3,737-4,001-26,159-28,007-148,037-404,101-1,036,259-2,828,707-14,951,737-104,662,159

More Examples

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