Q: What are the factor combinations of the number 116,023,565?

 A:
Positive:   1 x 1160235655 x 232047137 x 1657479535 x 331495967 x 1731695335 x 346339469 x 2473852345 x 49477
Negative: -1 x -116023565-5 x -23204713-7 x -16574795-35 x -3314959-67 x -1731695-335 x -346339-469 x -247385-2345 x -49477


How do I find the factor combinations of the number 116,023,565?

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 116,023,565, 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.

1 116,023,565
-1 -116,023,565

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 116,023,565.

Example:
1 x 116,023,565 = 116,023,565
and
-1 x -116,023,565 = 116,023,565
Notice both answers equal 116,023,565

With that explanation out of the way, let's continue. Next, we take the number 116,023,565 and divide it by 2:

116,023,565 ÷ 2 = 58,011,782.5

If the quotient is a whole number, then 2 and 58,011,782.5 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:

1 116,023,565
-1 -116,023,565

Now, we try dividing 116,023,565 by 3:

116,023,565 ÷ 3 = 38,674,521.6667

If the quotient is a whole number, then 3 and 38,674,521.6667 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:

1 116,023,565
-1 -116,023,565

Let's try dividing by 4:

116,023,565 ÷ 4 = 29,005,891.25

If the quotient is a whole number, then 4 and 29,005,891.25 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:

1 116,023,565
-1 116,023,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,34549,477247,385346,3391,731,6953,314,95916,574,79523,204,713116,023,565
-1-5-7-35-67-335-469-2,345-49,477-247,385-346,339-1,731,695-3,314,959-16,574,795-23,204,713-116,023,565

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