Q: What are the factor combinations of the number 347,502,125?

 A:
Positive:   1 x 3475021255 x 6950042525 x 13900085125 x 2780017641 x 5421253205 x 1084254337 x 8012516025 x 21685
Negative: -1 x -347502125-5 x -69500425-25 x -13900085-125 x -2780017-641 x -542125-3205 x -108425-4337 x -80125-16025 x -21685


How do I find the factor combinations of the number 347,502,125?

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 347,502,125, 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.

1 347,502,125
-1 -347,502,125

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 347,502,125.

Example:
1 x 347,502,125 = 347,502,125
and
-1 x -347,502,125 = 347,502,125
Notice both answers equal 347,502,125

With that explanation out of the way, let's continue. Next, we take the number 347,502,125 and divide it by 2:

347,502,125 ÷ 2 = 173,751,062.5

If the quotient is a whole number, then 2 and 173,751,062.5 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:

1 347,502,125
-1 -347,502,125

Now, we try dividing 347,502,125 by 3:

347,502,125 ÷ 3 = 115,834,041.6667

If the quotient is a whole number, then 3 and 115,834,041.6667 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:

1 347,502,125
-1 -347,502,125

Let's try dividing by 4:

347,502,125 ÷ 4 = 86,875,531.25

If the quotient is a whole number, then 4 and 86,875,531.25 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:

1 347,502,125
-1 347,502,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251256413,2054,33716,02521,68580,125108,425542,1252,780,01713,900,08569,500,425347,502,125
-1-5-25-125-641-3,205-4,337-16,025-21,685-80,125-108,425-542,125-2,780,017-13,900,085-69,500,425-347,502,125

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