Q: What are the factor combinations of the number 55,645,577?

 A:
Positive:   1 x 5564557713 x 428042929 x 191881367 x 830531377 x 147601871 x 638871943 x 286392203 x 25259
Negative: -1 x -55645577-13 x -4280429-29 x -1918813-67 x -830531-377 x -147601-871 x -63887-1943 x -28639-2203 x -25259


How do I find the factor combinations of the number 55,645,577?

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 55,645,577, 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 55,645,577
-1 -55,645,577

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 55,645,577.

Example:
1 x 55,645,577 = 55,645,577
and
-1 x -55,645,577 = 55,645,577
Notice both answers equal 55,645,577

With that explanation out of the way, let's continue. Next, we take the number 55,645,577 and divide it by 2:

55,645,577 ÷ 2 = 27,822,788.5

If the quotient is a whole number, then 2 and 27,822,788.5 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 55,645,577
-1 -55,645,577

Now, we try dividing 55,645,577 by 3:

55,645,577 ÷ 3 = 18,548,525.6667

If the quotient is a whole number, then 3 and 18,548,525.6667 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 55,645,577
-1 -55,645,577

Let's try dividing by 4:

55,645,577 ÷ 4 = 13,911,394.25

If the quotient is a whole number, then 4 and 13,911,394.25 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 55,645,577
-1 55,645,577
Keep dividing by the next highest number until you cannot divide anymore.

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

11329673778711,9432,20325,25928,63963,887147,601830,5311,918,8134,280,42955,645,577
-1-13-29-67-377-871-1,943-2,203-25,259-28,639-63,887-147,601-830,531-1,918,813-4,280,429-55,645,577

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