Q: What are the factor combinations of the number 520,565,201?

 A:
Positive:   1 x 52056520113 x 4004347759 x 8823139647 x 804583767 x 6787031049 x 4962498411 x 6189113637 x 38173
Negative: -1 x -520565201-13 x -40043477-59 x -8823139-647 x -804583-767 x -678703-1049 x -496249-8411 x -61891-13637 x -38173


How do I find the factor combinations of the number 520,565,201?

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 520,565,201, 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.

1 520,565,201
-1 -520,565,201

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 520,565,201.

Example:
1 x 520,565,201 = 520,565,201
and
-1 x -520,565,201 = 520,565,201
Notice both answers equal 520,565,201

With that explanation out of the way, let's continue. Next, we take the number 520,565,201 and divide it by 2:

520,565,201 ÷ 2 = 260,282,600.5

If the quotient is a whole number, then 2 and 260,282,600.5 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:

1 520,565,201
-1 -520,565,201

Now, we try dividing 520,565,201 by 3:

520,565,201 ÷ 3 = 173,521,733.6667

If the quotient is a whole number, then 3 and 173,521,733.6667 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:

1 520,565,201
-1 -520,565,201

Let's try dividing by 4:

520,565,201 ÷ 4 = 130,141,300.25

If the quotient is a whole number, then 4 and 130,141,300.25 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:

1 520,565,201
-1 520,565,201
Keep dividing by the next highest number until you cannot divide anymore.

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

113596477671,0498,41113,63738,17361,891496,249678,703804,5838,823,13940,043,477520,565,201
-1-13-59-647-767-1,049-8,411-13,637-38,173-61,891-496,249-678,703-804,583-8,823,139-40,043,477-520,565,201

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