Q: What are the factor combinations of the number 111,432,035?

 A:
Positive:   1 x 1114320355 x 2228640711 x 1013018513 x 857169555 x 202603765 x 1714339143 x 779245715 x 155849
Negative: -1 x -111432035-5 x -22286407-11 x -10130185-13 x -8571695-55 x -2026037-65 x -1714339-143 x -779245-715 x -155849


How do I find the factor combinations of the number 111,432,035?

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 111,432,035, 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.

1 111,432,035
-1 -111,432,035

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 111,432,035.

Example:
1 x 111,432,035 = 111,432,035
and
-1 x -111,432,035 = 111,432,035
Notice both answers equal 111,432,035

With that explanation out of the way, let's continue. Next, we take the number 111,432,035 and divide it by 2:

111,432,035 ÷ 2 = 55,716,017.5

If the quotient is a whole number, then 2 and 55,716,017.5 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:

1 111,432,035
-1 -111,432,035

Now, we try dividing 111,432,035 by 3:

111,432,035 ÷ 3 = 37,144,011.6667

If the quotient is a whole number, then 3 and 37,144,011.6667 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:

1 111,432,035
-1 -111,432,035

Let's try dividing by 4:

111,432,035 ÷ 4 = 27,858,008.75

If the quotient is a whole number, then 4 and 27,858,008.75 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:

1 111,432,035
-1 111,432,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715155,849779,2451,714,3392,026,0378,571,69510,130,18522,286,407111,432,035
-1-5-11-13-55-65-143-715-155,849-779,245-1,714,339-2,026,037-8,571,695-10,130,185-22,286,407-111,432,035

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