Q: What are the factor combinations of the number 324,254,299?

 A:
Positive:   1 x 32425429923 x 140980132251 x 1440496263 x 51773
Negative: -1 x -324254299-23 x -14098013-2251 x -144049-6263 x -51773


How do I find the factor combinations of the number 324,254,299?

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 324,254,299, 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.

1 324,254,299
-1 -324,254,299

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 324,254,299.

Example:
1 x 324,254,299 = 324,254,299
and
-1 x -324,254,299 = 324,254,299
Notice both answers equal 324,254,299

With that explanation out of the way, let's continue. Next, we take the number 324,254,299 and divide it by 2:

324,254,299 ÷ 2 = 162,127,149.5

If the quotient is a whole number, then 2 and 162,127,149.5 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:

1 324,254,299
-1 -324,254,299

Now, we try dividing 324,254,299 by 3:

324,254,299 ÷ 3 = 108,084,766.3333

If the quotient is a whole number, then 3 and 108,084,766.3333 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:

1 324,254,299
-1 -324,254,299

Let's try dividing by 4:

324,254,299 ÷ 4 = 81,063,574.75

If the quotient is a whole number, then 4 and 81,063,574.75 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:

1 324,254,299
-1 324,254,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1232,2516,26351,773144,04914,098,013324,254,299
-1-23-2,251-6,263-51,773-144,049-14,098,013-324,254,299

More Examples

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