Q: What are the factor combinations of the number 5,055,425?

 A:
Positive:   1 x 50554255 x 101108519 x 26607525 x 20221729 x 17432595 x 53215145 x 34865367 x 13775475 x 10643551 x 9175725 x 69731835 x 2755
Negative: -1 x -5055425-5 x -1011085-19 x -266075-25 x -202217-29 x -174325-95 x -53215-145 x -34865-367 x -13775-475 x -10643-551 x -9175-725 x -6973-1835 x -2755


How do I find the factor combinations of the number 5,055,425?

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 5,055,425, 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 5,055,425
-1 -5,055,425

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 5,055,425.

Example:
1 x 5,055,425 = 5,055,425
and
-1 x -5,055,425 = 5,055,425
Notice both answers equal 5,055,425

With that explanation out of the way, let's continue. Next, we take the number 5,055,425 and divide it by 2:

5,055,425 ÷ 2 = 2,527,712.5

If the quotient is a whole number, then 2 and 2,527,712.5 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 5,055,425
-1 -5,055,425

Now, we try dividing 5,055,425 by 3:

5,055,425 ÷ 3 = 1,685,141.6667

If the quotient is a whole number, then 3 and 1,685,141.6667 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 5,055,425
-1 -5,055,425

Let's try dividing by 4:

5,055,425 ÷ 4 = 1,263,856.25

If the quotient is a whole number, then 4 and 1,263,856.25 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 5,055,425
-1 5,055,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951453674755517251,8352,7556,9739,17510,64313,77534,86553,215174,325202,217266,0751,011,0855,055,425
-1-5-19-25-29-95-145-367-475-551-725-1,835-2,755-6,973-9,175-10,643-13,775-34,865-53,215-174,325-202,217-266,075-1,011,085-5,055,425

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