Q: What are the factor combinations of the number 112,003,445?

 A:
Positive:   1 x 1120034455 x 2240068923 x 4869715101 x 1108945115 x 973943505 x 2217892323 x 482159643 x 11615
Negative: -1 x -112003445-5 x -22400689-23 x -4869715-101 x -1108945-115 x -973943-505 x -221789-2323 x -48215-9643 x -11615


How do I find the factor combinations of the number 112,003,445?

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 112,003,445, 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.

1 112,003,445
-1 -112,003,445

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 112,003,445.

Example:
1 x 112,003,445 = 112,003,445
and
-1 x -112,003,445 = 112,003,445
Notice both answers equal 112,003,445

With that explanation out of the way, let's continue. Next, we take the number 112,003,445 and divide it by 2:

112,003,445 ÷ 2 = 56,001,722.5

If the quotient is a whole number, then 2 and 56,001,722.5 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:

1 112,003,445
-1 -112,003,445

Now, we try dividing 112,003,445 by 3:

112,003,445 ÷ 3 = 37,334,481.6667

If the quotient is a whole number, then 3 and 37,334,481.6667 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:

1 112,003,445
-1 -112,003,445

Let's try dividing by 4:

112,003,445 ÷ 4 = 28,000,861.25

If the quotient is a whole number, then 4 and 28,000,861.25 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:

1 112,003,445
-1 112,003,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15231011155052,3239,64311,61548,215221,789973,9431,108,9454,869,71522,400,689112,003,445
-1-5-23-101-115-505-2,323-9,643-11,615-48,215-221,789-973,943-1,108,945-4,869,715-22,400,689-112,003,445

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