Q: What are the factor combinations of the number 525,002,435?

 A:
Positive:   1 x 5250024355 x 10500048737 x 14189255185 x 2837851
Negative: -1 x -525002435-5 x -105000487-37 x -14189255-185 x -2837851


How do I find the factor combinations of the number 525,002,435?

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 525,002,435, 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.

1 525,002,435
-1 -525,002,435

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 525,002,435.

Example:
1 x 525,002,435 = 525,002,435
and
-1 x -525,002,435 = 525,002,435
Notice both answers equal 525,002,435

With that explanation out of the way, let's continue. Next, we take the number 525,002,435 and divide it by 2:

525,002,435 ÷ 2 = 262,501,217.5

If the quotient is a whole number, then 2 and 262,501,217.5 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:

1 525,002,435
-1 -525,002,435

Now, we try dividing 525,002,435 by 3:

525,002,435 ÷ 3 = 175,000,811.6667

If the quotient is a whole number, then 3 and 175,000,811.6667 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:

1 525,002,435
-1 -525,002,435

Let's try dividing by 4:

525,002,435 ÷ 4 = 131,250,608.75

If the quotient is a whole number, then 4 and 131,250,608.75 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:

1 525,002,435
-1 525,002,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852,837,85114,189,255105,000,487525,002,435
-1-5-37-185-2,837,851-14,189,255-105,000,487-525,002,435

More Examples

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