Q: What are the factor combinations of the number 531,024,013?

 A:
Positive:   1 x 53102401313 x 4084800153 x 1001932159 x 9000407689 x 770717767 x 6923393127 x 16981913063 x 40651
Negative: -1 x -531024013-13 x -40848001-53 x -10019321-59 x -9000407-689 x -770717-767 x -692339-3127 x -169819-13063 x -40651


How do I find the factor combinations of the number 531,024,013?

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 531,024,013, 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.

1 531,024,013
-1 -531,024,013

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 531,024,013.

Example:
1 x 531,024,013 = 531,024,013
and
-1 x -531,024,013 = 531,024,013
Notice both answers equal 531,024,013

With that explanation out of the way, let's continue. Next, we take the number 531,024,013 and divide it by 2:

531,024,013 ÷ 2 = 265,512,006.5

If the quotient is a whole number, then 2 and 265,512,006.5 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:

1 531,024,013
-1 -531,024,013

Now, we try dividing 531,024,013 by 3:

531,024,013 ÷ 3 = 177,008,004.3333

If the quotient is a whole number, then 3 and 177,008,004.3333 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:

1 531,024,013
-1 -531,024,013

Let's try dividing by 4:

531,024,013 ÷ 4 = 132,756,003.25

If the quotient is a whole number, then 4 and 132,756,003.25 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:

1 531,024,013
-1 531,024,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11353596897673,12713,06340,651169,819692,339770,7179,000,40710,019,32140,848,001531,024,013
-1-13-53-59-689-767-3,127-13,063-40,651-169,819-692,339-770,717-9,000,407-10,019,321-40,848,001-531,024,013

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