Q: What are the factor combinations of the number 521,227,645?

 A:
Positive:   1 x 5212276455 x 10424552931 x 16813795109 x 4781905155 x 3362759545 x 9563813379 x 15425516895 x 30851
Negative: -1 x -521227645-5 x -104245529-31 x -16813795-109 x -4781905-155 x -3362759-545 x -956381-3379 x -154255-16895 x -30851


How do I find the factor combinations of the number 521,227,645?

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 521,227,645, 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.

1 521,227,645
-1 -521,227,645

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 521,227,645.

Example:
1 x 521,227,645 = 521,227,645
and
-1 x -521,227,645 = 521,227,645
Notice both answers equal 521,227,645

With that explanation out of the way, let's continue. Next, we take the number 521,227,645 and divide it by 2:

521,227,645 ÷ 2 = 260,613,822.5

If the quotient is a whole number, then 2 and 260,613,822.5 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:

1 521,227,645
-1 -521,227,645

Now, we try dividing 521,227,645 by 3:

521,227,645 ÷ 3 = 173,742,548.3333

If the quotient is a whole number, then 3 and 173,742,548.3333 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:

1 521,227,645
-1 -521,227,645

Let's try dividing by 4:

521,227,645 ÷ 4 = 130,306,911.25

If the quotient is a whole number, then 4 and 130,306,911.25 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:

1 521,227,645
-1 521,227,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15311091555453,37916,89530,851154,255956,3813,362,7594,781,90516,813,795104,245,529521,227,645
-1-5-31-109-155-545-3,379-16,895-30,851-154,255-956,381-3,362,759-4,781,905-16,813,795-104,245,529-521,227,645

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