Q: What are the factor combinations of the number 573,023,815?

 A:
Positive:   1 x 5730238155 x 1146047637 x 8186054513 x 4407875535 x 1637210965 x 881575191 x 6296965455 x 1259393
Negative: -1 x -573023815-5 x -114604763-7 x -81860545-13 x -44078755-35 x -16372109-65 x -8815751-91 x -6296965-455 x -1259393


How do I find the factor combinations of the number 573,023,815?

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 573,023,815, 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.

1 573,023,815
-1 -573,023,815

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 573,023,815.

Example:
1 x 573,023,815 = 573,023,815
and
-1 x -573,023,815 = 573,023,815
Notice both answers equal 573,023,815

With that explanation out of the way, let's continue. Next, we take the number 573,023,815 and divide it by 2:

573,023,815 ÷ 2 = 286,511,907.5

If the quotient is a whole number, then 2 and 286,511,907.5 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:

1 573,023,815
-1 -573,023,815

Now, we try dividing 573,023,815 by 3:

573,023,815 ÷ 3 = 191,007,938.3333

If the quotient is a whole number, then 3 and 191,007,938.3333 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:

1 573,023,815
-1 -573,023,815

Let's try dividing by 4:

573,023,815 ÷ 4 = 143,255,953.75

If the quotient is a whole number, then 4 and 143,255,953.75 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:

1 573,023,815
-1 573,023,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914551,259,3936,296,9658,815,75116,372,10944,078,75581,860,545114,604,763573,023,815
-1-5-7-13-35-65-91-455-1,259,393-6,296,965-8,815,751-16,372,109-44,078,755-81,860,545-114,604,763-573,023,815

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