Q: What are the factor combinations of the number 112,022,029?

 A:
Positive:   1 x 1120220297 x 1600314723 x 487052383 x 1349663101 x 1109129161 x 695789581 x 192809707 x 1584471909 x 586812323 x 482236889 x 162618383 x 13363
Negative: -1 x -112022029-7 x -16003147-23 x -4870523-83 x -1349663-101 x -1109129-161 x -695789-581 x -192809-707 x -158447-1909 x -58681-2323 x -48223-6889 x -16261-8383 x -13363


How do I find the factor combinations of the number 112,022,029?

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 112,022,029, 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.

1 112,022,029
-1 -112,022,029

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 112,022,029.

Example:
1 x 112,022,029 = 112,022,029
and
-1 x -112,022,029 = 112,022,029
Notice both answers equal 112,022,029

With that explanation out of the way, let's continue. Next, we take the number 112,022,029 and divide it by 2:

112,022,029 ÷ 2 = 56,011,014.5

If the quotient is a whole number, then 2 and 56,011,014.5 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:

1 112,022,029
-1 -112,022,029

Now, we try dividing 112,022,029 by 3:

112,022,029 ÷ 3 = 37,340,676.3333

If the quotient is a whole number, then 3 and 37,340,676.3333 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:

1 112,022,029
-1 -112,022,029

Let's try dividing by 4:

112,022,029 ÷ 4 = 28,005,507.25

If the quotient is a whole number, then 4 and 28,005,507.25 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:

1 112,022,029
-1 112,022,029
Keep dividing by the next highest number until you cannot divide anymore.

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

1723831011615817071,9092,3236,8898,38313,36316,26148,22358,681158,447192,809695,7891,109,1291,349,6634,870,52316,003,147112,022,029
-1-7-23-83-101-161-581-707-1,909-2,323-6,889-8,383-13,363-16,261-48,223-58,681-158,447-192,809-695,789-1,109,129-1,349,663-4,870,523-16,003,147-112,022,029

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