Q: What are the factor combinations of the number 532,004,305?

 A:
Positive:   1 x 5320043055 x 1064008617 x 7600061535 x 15200123373 x 14262851865 x 2852572611 x 20375513055 x 40751
Negative: -1 x -532004305-5 x -106400861-7 x -76000615-35 x -15200123-373 x -1426285-1865 x -285257-2611 x -203755-13055 x -40751


How do I find the factor combinations of the number 532,004,305?

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 532,004,305, 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.

1 532,004,305
-1 -532,004,305

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 532,004,305.

Example:
1 x 532,004,305 = 532,004,305
and
-1 x -532,004,305 = 532,004,305
Notice both answers equal 532,004,305

With that explanation out of the way, let's continue. Next, we take the number 532,004,305 and divide it by 2:

532,004,305 ÷ 2 = 266,002,152.5

If the quotient is a whole number, then 2 and 266,002,152.5 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:

1 532,004,305
-1 -532,004,305

Now, we try dividing 532,004,305 by 3:

532,004,305 ÷ 3 = 177,334,768.3333

If the quotient is a whole number, then 3 and 177,334,768.3333 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:

1 532,004,305
-1 -532,004,305

Let's try dividing by 4:

532,004,305 ÷ 4 = 133,001,076.25

If the quotient is a whole number, then 4 and 133,001,076.25 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:

1 532,004,305
-1 532,004,305
Keep dividing by the next highest number until you cannot divide anymore.

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

157353731,8652,61113,05540,751203,755285,2571,426,28515,200,12376,000,615106,400,861532,004,305
-1-5-7-35-373-1,865-2,611-13,055-40,751-203,755-285,257-1,426,285-15,200,123-76,000,615-106,400,861-532,004,305

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