Q: What are the factor combinations of the number 466,238,225?

 A:
Positive:   1 x 4662382255 x 9324764525 x 1864952973 x 6386825365 x 12773651825 x 255473
Negative: -1 x -466238225-5 x -93247645-25 x -18649529-73 x -6386825-365 x -1277365-1825 x -255473


How do I find the factor combinations of the number 466,238,225?

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 466,238,225, 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.

1 466,238,225
-1 -466,238,225

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 466,238,225.

Example:
1 x 466,238,225 = 466,238,225
and
-1 x -466,238,225 = 466,238,225
Notice both answers equal 466,238,225

With that explanation out of the way, let's continue. Next, we take the number 466,238,225 and divide it by 2:

466,238,225 ÷ 2 = 233,119,112.5

If the quotient is a whole number, then 2 and 233,119,112.5 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:

1 466,238,225
-1 -466,238,225

Now, we try dividing 466,238,225 by 3:

466,238,225 ÷ 3 = 155,412,741.6667

If the quotient is a whole number, then 3 and 155,412,741.6667 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:

1 466,238,225
-1 -466,238,225

Let's try dividing by 4:

466,238,225 ÷ 4 = 116,559,556.25

If the quotient is a whole number, then 4 and 116,559,556.25 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:

1 466,238,225
-1 466,238,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525733651,825255,4731,277,3656,386,82518,649,52993,247,645466,238,225
-1-5-25-73-365-1,825-255,473-1,277,365-6,386,825-18,649,529-93,247,645-466,238,225

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