Q: What are the factor combinations of the number 328,425,685?

 A:
Positive:   1 x 3284256855 x 656851377 x 4691795535 x 938359149 x 6702565245 x 1340513809 x 4059651657 x 1982054045 x 811935663 x 579958285 x 3964111599 x 28315
Negative: -1 x -328425685-5 x -65685137-7 x -46917955-35 x -9383591-49 x -6702565-245 x -1340513-809 x -405965-1657 x -198205-4045 x -81193-5663 x -57995-8285 x -39641-11599 x -28315


How do I find the factor combinations of the number 328,425,685?

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 328,425,685, 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.

1 328,425,685
-1 -328,425,685

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 328,425,685.

Example:
1 x 328,425,685 = 328,425,685
and
-1 x -328,425,685 = 328,425,685
Notice both answers equal 328,425,685

With that explanation out of the way, let's continue. Next, we take the number 328,425,685 and divide it by 2:

328,425,685 ÷ 2 = 164,212,842.5

If the quotient is a whole number, then 2 and 164,212,842.5 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:

1 328,425,685
-1 -328,425,685

Now, we try dividing 328,425,685 by 3:

328,425,685 ÷ 3 = 109,475,228.3333

If the quotient is a whole number, then 3 and 109,475,228.3333 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:

1 328,425,685
-1 -328,425,685

Let's try dividing by 4:

328,425,685 ÷ 4 = 82,106,421.25

If the quotient is a whole number, then 4 and 82,106,421.25 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:

1 328,425,685
-1 328,425,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492458091,6574,0455,6638,28511,59928,31539,64157,99581,193198,205405,9651,340,5136,702,5659,383,59146,917,95565,685,137328,425,685
-1-5-7-35-49-245-809-1,657-4,045-5,663-8,285-11,599-28,315-39,641-57,995-81,193-198,205-405,965-1,340,513-6,702,565-9,383,591-46,917,955-65,685,137-328,425,685

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