Q: What are the factor combinations of the number 520,404,335?

 A:
Positive:   1 x 5204043355 x 10408086711 x 4730948555 x 9461897233 x 22334951165 x 4466992563 x 20304512815 x 40609
Negative: -1 x -520404335-5 x -104080867-11 x -47309485-55 x -9461897-233 x -2233495-1165 x -446699-2563 x -203045-12815 x -40609


How do I find the factor combinations of the number 520,404,335?

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 520,404,335, 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.

1 520,404,335
-1 -520,404,335

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 520,404,335.

Example:
1 x 520,404,335 = 520,404,335
and
-1 x -520,404,335 = 520,404,335
Notice both answers equal 520,404,335

With that explanation out of the way, let's continue. Next, we take the number 520,404,335 and divide it by 2:

520,404,335 ÷ 2 = 260,202,167.5

If the quotient is a whole number, then 2 and 260,202,167.5 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:

1 520,404,335
-1 -520,404,335

Now, we try dividing 520,404,335 by 3:

520,404,335 ÷ 3 = 173,468,111.6667

If the quotient is a whole number, then 3 and 173,468,111.6667 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:

1 520,404,335
-1 -520,404,335

Let's try dividing by 4:

520,404,335 ÷ 4 = 130,101,083.75

If the quotient is a whole number, then 4 and 130,101,083.75 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:

1 520,404,335
-1 520,404,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552331,1652,56312,81540,609203,045446,6992,233,4959,461,89747,309,485104,080,867520,404,335
-1-5-11-55-233-1,165-2,563-12,815-40,609-203,045-446,699-2,233,495-9,461,897-47,309,485-104,080,867-520,404,335

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