Q: What are the factor combinations of the number 56,345,575?

 A:
Positive:   1 x 563455755 x 1126911511 x 512232513 x 433427525 x 225382355 x 102446565 x 866855143 x 394025275 x 204893325 x 173371715 x 788053575 x 15761
Negative: -1 x -56345575-5 x -11269115-11 x -5122325-13 x -4334275-25 x -2253823-55 x -1024465-65 x -866855-143 x -394025-275 x -204893-325 x -173371-715 x -78805-3575 x -15761


How do I find the factor combinations of the number 56,345,575?

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 56,345,575, 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 56,345,575
-1 -56,345,575

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 56,345,575.

Example:
1 x 56,345,575 = 56,345,575
and
-1 x -56,345,575 = 56,345,575
Notice both answers equal 56,345,575

With that explanation out of the way, let's continue. Next, we take the number 56,345,575 and divide it by 2:

56,345,575 ÷ 2 = 28,172,787.5

If the quotient is a whole number, then 2 and 28,172,787.5 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 56,345,575
-1 -56,345,575

Now, we try dividing 56,345,575 by 3:

56,345,575 ÷ 3 = 18,781,858.3333

If the quotient is a whole number, then 3 and 18,781,858.3333 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 56,345,575
-1 -56,345,575

Let's try dividing by 4:

56,345,575 ÷ 4 = 14,086,393.75

If the quotient is a whole number, then 4 and 14,086,393.75 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 56,345,575
-1 56,345,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57515,76178,805173,371204,893394,025866,8551,024,4652,253,8234,334,2755,122,32511,269,11556,345,575
-1-5-11-13-25-55-65-143-275-325-715-3,575-15,761-78,805-173,371-204,893-394,025-866,855-1,024,465-2,253,823-4,334,275-5,122,325-11,269,115-56,345,575

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