Q: What are the factor combinations of the number 520,887,625?

 A:
Positive:   1 x 5208876255 x 10417752525 x 20835505113 x 4609625125 x 4167101565 x 9219252825 x 18438514125 x 36877
Negative: -1 x -520887625-5 x -104177525-25 x -20835505-113 x -4609625-125 x -4167101-565 x -921925-2825 x -184385-14125 x -36877


How do I find the factor combinations of the number 520,887,625?

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 520,887,625, 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.

1 520,887,625
-1 -520,887,625

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 520,887,625.

Example:
1 x 520,887,625 = 520,887,625
and
-1 x -520,887,625 = 520,887,625
Notice both answers equal 520,887,625

With that explanation out of the way, let's continue. Next, we take the number 520,887,625 and divide it by 2:

520,887,625 ÷ 2 = 260,443,812.5

If the quotient is a whole number, then 2 and 260,443,812.5 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:

1 520,887,625
-1 -520,887,625

Now, we try dividing 520,887,625 by 3:

520,887,625 ÷ 3 = 173,629,208.3333

If the quotient is a whole number, then 3 and 173,629,208.3333 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:

1 520,887,625
-1 -520,887,625

Let's try dividing by 4:

520,887,625 ÷ 4 = 130,221,906.25

If the quotient is a whole number, then 4 and 130,221,906.25 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:

1 520,887,625
-1 520,887,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251131255652,82514,12536,877184,385921,9254,167,1014,609,62520,835,505104,177,525520,887,625
-1-5-25-113-125-565-2,825-14,125-36,877-184,385-921,925-4,167,101-4,609,625-20,835,505-104,177,525-520,887,625

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