Q: What are the factor combinations of the number 113,020,229?

 A:
Positive:   1 x 1130202297 x 1614574723 x 491392397 x 1165157161 x 701989679 x 1664512231 x 506597237 x 15617
Negative: -1 x -113020229-7 x -16145747-23 x -4913923-97 x -1165157-161 x -701989-679 x -166451-2231 x -50659-7237 x -15617


How do I find the factor combinations of the number 113,020,229?

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 113,020,229, 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.

1 113,020,229
-1 -113,020,229

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 113,020,229.

Example:
1 x 113,020,229 = 113,020,229
and
-1 x -113,020,229 = 113,020,229
Notice both answers equal 113,020,229

With that explanation out of the way, let's continue. Next, we take the number 113,020,229 and divide it by 2:

113,020,229 ÷ 2 = 56,510,114.5

If the quotient is a whole number, then 2 and 56,510,114.5 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:

1 113,020,229
-1 -113,020,229

Now, we try dividing 113,020,229 by 3:

113,020,229 ÷ 3 = 37,673,409.6667

If the quotient is a whole number, then 3 and 37,673,409.6667 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:

1 113,020,229
-1 -113,020,229

Let's try dividing by 4:

113,020,229 ÷ 4 = 28,255,057.25

If the quotient is a whole number, then 4 and 28,255,057.25 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:

1 113,020,229
-1 113,020,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1723971616792,2317,23715,61750,659166,451701,9891,165,1574,913,92316,145,747113,020,229
-1-7-23-97-161-679-2,231-7,237-15,617-50,659-166,451-701,989-1,165,157-4,913,923-16,145,747-113,020,229

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