Q: What are the factor combinations of the number 55,920,425?

 A:
Positive:   1 x 559204255 x 1118408511 x 508367525 x 223681743 x 130047555 x 1016735215 x 260095275 x 203347473 x 1182251075 x 520192365 x 236454729 x 11825
Negative: -1 x -55920425-5 x -11184085-11 x -5083675-25 x -2236817-43 x -1300475-55 x -1016735-215 x -260095-275 x -203347-473 x -118225-1075 x -52019-2365 x -23645-4729 x -11825


How do I find the factor combinations of the number 55,920,425?

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 55,920,425, 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 55,920,425
-1 -55,920,425

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 55,920,425.

Example:
1 x 55,920,425 = 55,920,425
and
-1 x -55,920,425 = 55,920,425
Notice both answers equal 55,920,425

With that explanation out of the way, let's continue. Next, we take the number 55,920,425 and divide it by 2:

55,920,425 ÷ 2 = 27,960,212.5

If the quotient is a whole number, then 2 and 27,960,212.5 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 55,920,425
-1 -55,920,425

Now, we try dividing 55,920,425 by 3:

55,920,425 ÷ 3 = 18,640,141.6667

If the quotient is a whole number, then 3 and 18,640,141.6667 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 55,920,425
-1 -55,920,425

Let's try dividing by 4:

55,920,425 ÷ 4 = 13,980,106.25

If the quotient is a whole number, then 4 and 13,980,106.25 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 55,920,425
-1 55,920,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754731,0752,3654,72911,82523,64552,019118,225203,347260,0951,016,7351,300,4752,236,8175,083,67511,184,08555,920,425
-1-5-11-25-43-55-215-275-473-1,075-2,365-4,729-11,825-23,645-52,019-118,225-203,347-260,095-1,016,735-1,300,475-2,236,817-5,083,675-11,184,085-55,920,425

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