Q: What are the factor combinations of the number 531,518,801?

 A:
Positive:   1 x 53151880111 x 4831989137 x 14365373407 x 1305943853 x 6231171531 x 3471719383 x 5664716841 x 31561
Negative: -1 x -531518801-11 x -48319891-37 x -14365373-407 x -1305943-853 x -623117-1531 x -347171-9383 x -56647-16841 x -31561


How do I find the factor combinations of the number 531,518,801?

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 531,518,801, 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.

1 531,518,801
-1 -531,518,801

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 531,518,801.

Example:
1 x 531,518,801 = 531,518,801
and
-1 x -531,518,801 = 531,518,801
Notice both answers equal 531,518,801

With that explanation out of the way, let's continue. Next, we take the number 531,518,801 and divide it by 2:

531,518,801 ÷ 2 = 265,759,400.5

If the quotient is a whole number, then 2 and 265,759,400.5 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:

1 531,518,801
-1 -531,518,801

Now, we try dividing 531,518,801 by 3:

531,518,801 ÷ 3 = 177,172,933.6667

If the quotient is a whole number, then 3 and 177,172,933.6667 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:

1 531,518,801
-1 -531,518,801

Let's try dividing by 4:

531,518,801 ÷ 4 = 132,879,700.25

If the quotient is a whole number, then 4 and 132,879,700.25 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:

1 531,518,801
-1 531,518,801
Keep dividing by the next highest number until you cannot divide anymore.

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

111374078531,5319,38316,84131,56156,647347,171623,1171,305,94314,365,37348,319,891531,518,801
-1-11-37-407-853-1,531-9,383-16,841-31,561-56,647-347,171-623,117-1,305,943-14,365,373-48,319,891-531,518,801

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