Q: What are the factor combinations of the number 116,155,025?

 A:
Positive:   1 x 1161550255 x 232310057 x 1659357525 x 464620135 x 331871537 x 3139325175 x 663743185 x 627865259 x 448475925 x 1255731295 x 896956475 x 17939
Negative: -1 x -116155025-5 x -23231005-7 x -16593575-25 x -4646201-35 x -3318715-37 x -3139325-175 x -663743-185 x -627865-259 x -448475-925 x -125573-1295 x -89695-6475 x -17939


How do I find the factor combinations of the number 116,155,025?

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 116,155,025, 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.

1 116,155,025
-1 -116,155,025

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 116,155,025.

Example:
1 x 116,155,025 = 116,155,025
and
-1 x -116,155,025 = 116,155,025
Notice both answers equal 116,155,025

With that explanation out of the way, let's continue. Next, we take the number 116,155,025 and divide it by 2:

116,155,025 ÷ 2 = 58,077,512.5

If the quotient is a whole number, then 2 and 58,077,512.5 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:

1 116,155,025
-1 -116,155,025

Now, we try dividing 116,155,025 by 3:

116,155,025 ÷ 3 = 38,718,341.6667

If the quotient is a whole number, then 3 and 38,718,341.6667 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:

1 116,155,025
-1 -116,155,025

Let's try dividing by 4:

116,155,025 ÷ 4 = 29,038,756.25

If the quotient is a whole number, then 4 and 29,038,756.25 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:

1 116,155,025
-1 116,155,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371751852599251,2956,47517,93989,695125,573448,475627,865663,7433,139,3253,318,7154,646,20116,593,57523,231,005116,155,025
-1-5-7-25-35-37-175-185-259-925-1,295-6,475-17,939-89,695-125,573-448,475-627,865-663,743-3,139,325-3,318,715-4,646,201-16,593,575-23,231,005-116,155,025

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