Q: What are the factor combinations of the number 104,641,355?

 A:
Positive:   1 x 1046413555 x 209282717 x 1494876513 x 804933535 x 298975365 x 160986791 x 1149905455 x 229981
Negative: -1 x -104641355-5 x -20928271-7 x -14948765-13 x -8049335-35 x -2989753-65 x -1609867-91 x -1149905-455 x -229981


How do I find the factor combinations of the number 104,641,355?

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 104,641,355, 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.

1 104,641,355
-1 -104,641,355

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 104,641,355.

Example:
1 x 104,641,355 = 104,641,355
and
-1 x -104,641,355 = 104,641,355
Notice both answers equal 104,641,355

With that explanation out of the way, let's continue. Next, we take the number 104,641,355 and divide it by 2:

104,641,355 ÷ 2 = 52,320,677.5

If the quotient is a whole number, then 2 and 52,320,677.5 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:

1 104,641,355
-1 -104,641,355

Now, we try dividing 104,641,355 by 3:

104,641,355 ÷ 3 = 34,880,451.6667

If the quotient is a whole number, then 3 and 34,880,451.6667 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:

1 104,641,355
-1 -104,641,355

Let's try dividing by 4:

104,641,355 ÷ 4 = 26,160,338.75

If the quotient is a whole number, then 4 and 26,160,338.75 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:

1 104,641,355
-1 104,641,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455229,9811,149,9051,609,8672,989,7538,049,33514,948,76520,928,271104,641,355
-1-5-7-13-35-65-91-455-229,981-1,149,905-1,609,867-2,989,753-8,049,335-14,948,765-20,928,271-104,641,355

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