Q: What are the factor combinations of the number 525,424,613?

 A:
Positive:   1 x 5254246137 x 7506065919 x 27653927133 x 3950561439 x 11968673073 x 1709818341 x 629938999 x 58387
Negative: -1 x -525424613-7 x -75060659-19 x -27653927-133 x -3950561-439 x -1196867-3073 x -170981-8341 x -62993-8999 x -58387


How do I find the factor combinations of the number 525,424,613?

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 525,424,613, 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.

1 525,424,613
-1 -525,424,613

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 525,424,613.

Example:
1 x 525,424,613 = 525,424,613
and
-1 x -525,424,613 = 525,424,613
Notice both answers equal 525,424,613

With that explanation out of the way, let's continue. Next, we take the number 525,424,613 and divide it by 2:

525,424,613 ÷ 2 = 262,712,306.5

If the quotient is a whole number, then 2 and 262,712,306.5 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:

1 525,424,613
-1 -525,424,613

Now, we try dividing 525,424,613 by 3:

525,424,613 ÷ 3 = 175,141,537.6667

If the quotient is a whole number, then 3 and 175,141,537.6667 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:

1 525,424,613
-1 -525,424,613

Let's try dividing by 4:

525,424,613 ÷ 4 = 131,356,153.25

If the quotient is a whole number, then 4 and 131,356,153.25 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:

1 525,424,613
-1 525,424,613
Keep dividing by the next highest number until you cannot divide anymore.

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

17191334393,0738,3418,99958,38762,993170,9811,196,8673,950,56127,653,92775,060,659525,424,613
-1-7-19-133-439-3,073-8,341-8,999-58,387-62,993-170,981-1,196,867-3,950,561-27,653,927-75,060,659-525,424,613

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