Q: What are the factor combinations of the number 325,110,331?

 A:
Positive:   1 x 3251103317 x 4644433313 x 2500848767 x 485239391 x 3572641469 x 693199871 x 3732616097 x 53323
Negative: -1 x -325110331-7 x -46444333-13 x -25008487-67 x -4852393-91 x -3572641-469 x -693199-871 x -373261-6097 x -53323


How do I find the factor combinations of the number 325,110,331?

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 325,110,331, 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.

1 325,110,331
-1 -325,110,331

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 325,110,331.

Example:
1 x 325,110,331 = 325,110,331
and
-1 x -325,110,331 = 325,110,331
Notice both answers equal 325,110,331

With that explanation out of the way, let's continue. Next, we take the number 325,110,331 and divide it by 2:

325,110,331 ÷ 2 = 162,555,165.5

If the quotient is a whole number, then 2 and 162,555,165.5 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:

1 325,110,331
-1 -325,110,331

Now, we try dividing 325,110,331 by 3:

325,110,331 ÷ 3 = 108,370,110.3333

If the quotient is a whole number, then 3 and 108,370,110.3333 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:

1 325,110,331
-1 -325,110,331

Let's try dividing by 4:

325,110,331 ÷ 4 = 81,277,582.75

If the quotient is a whole number, then 4 and 81,277,582.75 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:

1 325,110,331
-1 325,110,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171367914698716,09753,323373,261693,1993,572,6414,852,39325,008,48746,444,333325,110,331
-1-7-13-67-91-469-871-6,097-53,323-373,261-693,199-3,572,641-4,852,393-25,008,487-46,444,333-325,110,331

More Examples

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