Q: What are the factor combinations of the number 16,203,425?

 A:
Positive:   1 x 162034255 x 32406857 x 231477525 x 64813735 x 46295553 x 305725175 x 92591265 x 61145371 x 436751325 x 122291747 x 92751855 x 8735
Negative: -1 x -16203425-5 x -3240685-7 x -2314775-25 x -648137-35 x -462955-53 x -305725-175 x -92591-265 x -61145-371 x -43675-1325 x -12229-1747 x -9275-1855 x -8735


How do I find the factor combinations of the number 16,203,425?

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 16,203,425, 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 16,203,425
-1 -16,203,425

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 16,203,425.

Example:
1 x 16,203,425 = 16,203,425
and
-1 x -16,203,425 = 16,203,425
Notice both answers equal 16,203,425

With that explanation out of the way, let's continue. Next, we take the number 16,203,425 and divide it by 2:

16,203,425 ÷ 2 = 8,101,712.5

If the quotient is a whole number, then 2 and 8,101,712.5 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 16,203,425
-1 -16,203,425

Now, we try dividing 16,203,425 by 3:

16,203,425 ÷ 3 = 5,401,141.6667

If the quotient is a whole number, then 3 and 5,401,141.6667 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 16,203,425
-1 -16,203,425

Let's try dividing by 4:

16,203,425 ÷ 4 = 4,050,856.25

If the quotient is a whole number, then 4 and 4,050,856.25 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 16,203,425
-1 16,203,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535531752653711,3251,7471,8558,7359,27512,22943,67561,14592,591305,725462,955648,1372,314,7753,240,68516,203,425
-1-5-7-25-35-53-175-265-371-1,325-1,747-1,855-8,735-9,275-12,229-43,675-61,145-92,591-305,725-462,955-648,137-2,314,775-3,240,685-16,203,425

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