Q: What are the factor combinations of the number 104,870,705?

 A:
Positive:   1 x 1048707055 x 2097414117 x 616886573 x 143658585 x 1233773365 x 2873171241 x 845056205 x 16901
Negative: -1 x -104870705-5 x -20974141-17 x -6168865-73 x -1436585-85 x -1233773-365 x -287317-1241 x -84505-6205 x -16901


How do I find the factor combinations of the number 104,870,705?

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 104,870,705, 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.

1 104,870,705
-1 -104,870,705

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 104,870,705.

Example:
1 x 104,870,705 = 104,870,705
and
-1 x -104,870,705 = 104,870,705
Notice both answers equal 104,870,705

With that explanation out of the way, let's continue. Next, we take the number 104,870,705 and divide it by 2:

104,870,705 ÷ 2 = 52,435,352.5

If the quotient is a whole number, then 2 and 52,435,352.5 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:

1 104,870,705
-1 -104,870,705

Now, we try dividing 104,870,705 by 3:

104,870,705 ÷ 3 = 34,956,901.6667

If the quotient is a whole number, then 3 and 34,956,901.6667 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:

1 104,870,705
-1 -104,870,705

Let's try dividing by 4:

104,870,705 ÷ 4 = 26,217,676.25

If the quotient is a whole number, then 4 and 26,217,676.25 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:

1 104,870,705
-1 104,870,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151773853651,2416,20516,90184,505287,3171,233,7731,436,5856,168,86520,974,141104,870,705
-1-5-17-73-85-365-1,241-6,205-16,901-84,505-287,317-1,233,773-1,436,585-6,168,865-20,974,141-104,870,705

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