Q: What are the factor combinations of the number 56,521,045?

 A:
Positive:   1 x 565210455 x 113042097 x 807443535 x 1614887601 x 940452687 x 210353005 x 188094207 x 13435
Negative: -1 x -56521045-5 x -11304209-7 x -8074435-35 x -1614887-601 x -94045-2687 x -21035-3005 x -18809-4207 x -13435


How do I find the factor combinations of the number 56,521,045?

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 56,521,045, 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 56,521,045
-1 -56,521,045

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 56,521,045.

Example:
1 x 56,521,045 = 56,521,045
and
-1 x -56,521,045 = 56,521,045
Notice both answers equal 56,521,045

With that explanation out of the way, let's continue. Next, we take the number 56,521,045 and divide it by 2:

56,521,045 ÷ 2 = 28,260,522.5

If the quotient is a whole number, then 2 and 28,260,522.5 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 56,521,045
-1 -56,521,045

Now, we try dividing 56,521,045 by 3:

56,521,045 ÷ 3 = 18,840,348.3333

If the quotient is a whole number, then 3 and 18,840,348.3333 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 56,521,045
-1 -56,521,045

Let's try dividing by 4:

56,521,045 ÷ 4 = 14,130,261.25

If the quotient is a whole number, then 4 and 14,130,261.25 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 56,521,045
-1 56,521,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157356012,6873,0054,20713,43518,80921,03594,0451,614,8878,074,43511,304,20956,521,045
-1-5-7-35-601-2,687-3,005-4,207-13,435-18,809-21,035-94,045-1,614,887-8,074,435-11,304,209-56,521,045

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