Q: What are the factor combinations of the number 12,402,145?

 A:
Positive:   1 x 124021455 x 24804297 x 177173535 x 35434749 x 253105223 x 55615227 x 54635245 x 506211115 x 111231135 x 109271561 x 79451589 x 7805
Negative: -1 x -12402145-5 x -2480429-7 x -1771735-35 x -354347-49 x -253105-223 x -55615-227 x -54635-245 x -50621-1115 x -11123-1135 x -10927-1561 x -7945-1589 x -7805


How do I find the factor combinations of the number 12,402,145?

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 12,402,145, 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 12,402,145
-1 -12,402,145

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 12,402,145.

Example:
1 x 12,402,145 = 12,402,145
and
-1 x -12,402,145 = 12,402,145
Notice both answers equal 12,402,145

With that explanation out of the way, let's continue. Next, we take the number 12,402,145 and divide it by 2:

12,402,145 ÷ 2 = 6,201,072.5

If the quotient is a whole number, then 2 and 6,201,072.5 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 12,402,145
-1 -12,402,145

Now, we try dividing 12,402,145 by 3:

12,402,145 ÷ 3 = 4,134,048.3333

If the quotient is a whole number, then 3 and 4,134,048.3333 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 12,402,145
-1 -12,402,145

Let's try dividing by 4:

12,402,145 ÷ 4 = 3,100,536.25

If the quotient is a whole number, then 4 and 3,100,536.25 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 12,402,145
-1 12,402,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492232272451,1151,1351,5611,5897,8057,94510,92711,12350,62154,63555,615253,105354,3471,771,7352,480,42912,402,145
-1-5-7-35-49-223-227-245-1,115-1,135-1,561-1,589-7,805-7,945-10,927-11,123-50,621-54,635-55,615-253,105-354,347-1,771,735-2,480,429-12,402,145

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