Q: What are the factor combinations of the number 442,004,125?

 A:
Positive:   1 x 4420041255 x 8840082519 x 2326337525 x 1768016595 x 4652675125 x 3536033475 x 9305352375 x 186107
Negative: -1 x -442004125-5 x -88400825-19 x -23263375-25 x -17680165-95 x -4652675-125 x -3536033-475 x -930535-2375 x -186107


How do I find the factor combinations of the number 442,004,125?

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 442,004,125, 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.

1 442,004,125
-1 -442,004,125

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 442,004,125.

Example:
1 x 442,004,125 = 442,004,125
and
-1 x -442,004,125 = 442,004,125
Notice both answers equal 442,004,125

With that explanation out of the way, let's continue. Next, we take the number 442,004,125 and divide it by 2:

442,004,125 ÷ 2 = 221,002,062.5

If the quotient is a whole number, then 2 and 221,002,062.5 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:

1 442,004,125
-1 -442,004,125

Now, we try dividing 442,004,125 by 3:

442,004,125 ÷ 3 = 147,334,708.3333

If the quotient is a whole number, then 3 and 147,334,708.3333 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:

1 442,004,125
-1 -442,004,125

Let's try dividing by 4:

442,004,125 ÷ 4 = 110,501,031.25

If the quotient is a whole number, then 4 and 110,501,031.25 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:

1 442,004,125
-1 442,004,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,375186,107930,5353,536,0334,652,67517,680,16523,263,37588,400,825442,004,125
-1-5-19-25-95-125-475-2,375-186,107-930,535-3,536,033-4,652,675-17,680,165-23,263,375-88,400,825-442,004,125

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