Q: What are the factor combinations of the number 55,253,575?

 A:
Positive:   1 x 552535755 x 1105071513 x 425027525 x 221014365 x 850055197 x 280475325 x 170011863 x 64025985 x 560952561 x 215754315 x 128054925 x 11219
Negative: -1 x -55253575-5 x -11050715-13 x -4250275-25 x -2210143-65 x -850055-197 x -280475-325 x -170011-863 x -64025-985 x -56095-2561 x -21575-4315 x -12805-4925 x -11219


How do I find the factor combinations of the number 55,253,575?

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 55,253,575, 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 55,253,575
-1 -55,253,575

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 55,253,575.

Example:
1 x 55,253,575 = 55,253,575
and
-1 x -55,253,575 = 55,253,575
Notice both answers equal 55,253,575

With that explanation out of the way, let's continue. Next, we take the number 55,253,575 and divide it by 2:

55,253,575 ÷ 2 = 27,626,787.5

If the quotient is a whole number, then 2 and 27,626,787.5 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 55,253,575
-1 -55,253,575

Now, we try dividing 55,253,575 by 3:

55,253,575 ÷ 3 = 18,417,858.3333

If the quotient is a whole number, then 3 and 18,417,858.3333 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 55,253,575
-1 -55,253,575

Let's try dividing by 4:

55,253,575 ÷ 4 = 13,813,393.75

If the quotient is a whole number, then 4 and 13,813,393.75 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 55,253,575
-1 55,253,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651973258639852,5614,3154,92511,21912,80521,57556,09564,025170,011280,475850,0552,210,1434,250,27511,050,71555,253,575
-1-5-13-25-65-197-325-863-985-2,561-4,315-4,925-11,219-12,805-21,575-56,095-64,025-170,011-280,475-850,055-2,210,143-4,250,275-11,050,715-55,253,575

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