Q: What are the factor combinations of the number 242,455,325?

 A:
Positive:   1 x 2424553255 x 484910657 x 3463647525 x 969821335 x 6927295175 x 1385459
Negative: -1 x -242455325-5 x -48491065-7 x -34636475-25 x -9698213-35 x -6927295-175 x -1385459


How do I find the factor combinations of the number 242,455,325?

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 242,455,325, 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.

1 242,455,325
-1 -242,455,325

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 242,455,325.

Example:
1 x 242,455,325 = 242,455,325
and
-1 x -242,455,325 = 242,455,325
Notice both answers equal 242,455,325

With that explanation out of the way, let's continue. Next, we take the number 242,455,325 and divide it by 2:

242,455,325 ÷ 2 = 121,227,662.5

If the quotient is a whole number, then 2 and 121,227,662.5 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:

1 242,455,325
-1 -242,455,325

Now, we try dividing 242,455,325 by 3:

242,455,325 ÷ 3 = 80,818,441.6667

If the quotient is a whole number, then 3 and 80,818,441.6667 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:

1 242,455,325
-1 -242,455,325

Let's try dividing by 4:

242,455,325 ÷ 4 = 60,613,831.25

If the quotient is a whole number, then 4 and 60,613,831.25 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:

1 242,455,325
-1 242,455,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751,385,4596,927,2959,698,21334,636,47548,491,065242,455,325
-1-5-7-25-35-175-1,385,459-6,927,295-9,698,213-34,636,475-48,491,065-242,455,325

More Examples

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