Q: What are the factor combinations of the number 104,431,315?

 A:
Positive:   1 x 1044313155 x 2088626319 x 549638595 x 1099277607 x 1720451811 x 576653035 x 344099055 x 11533
Negative: -1 x -104431315-5 x -20886263-19 x -5496385-95 x -1099277-607 x -172045-1811 x -57665-3035 x -34409-9055 x -11533


How do I find the factor combinations of the number 104,431,315?

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 104,431,315, 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.

1 104,431,315
-1 -104,431,315

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 104,431,315.

Example:
1 x 104,431,315 = 104,431,315
and
-1 x -104,431,315 = 104,431,315
Notice both answers equal 104,431,315

With that explanation out of the way, let's continue. Next, we take the number 104,431,315 and divide it by 2:

104,431,315 ÷ 2 = 52,215,657.5

If the quotient is a whole number, then 2 and 52,215,657.5 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:

1 104,431,315
-1 -104,431,315

Now, we try dividing 104,431,315 by 3:

104,431,315 ÷ 3 = 34,810,438.3333

If the quotient is a whole number, then 3 and 34,810,438.3333 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:

1 104,431,315
-1 -104,431,315

Let's try dividing by 4:

104,431,315 ÷ 4 = 26,107,828.75

If the quotient is a whole number, then 4 and 26,107,828.75 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:

1 104,431,315
-1 104,431,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956071,8113,0359,05511,53334,40957,665172,0451,099,2775,496,38520,886,263104,431,315
-1-5-19-95-607-1,811-3,035-9,055-11,533-34,409-57,665-172,045-1,099,277-5,496,385-20,886,263-104,431,315

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