Q: What are the factor combinations of the number 326,413,745?

 A:
Positive:   1 x 3264137455 x 652827497 x 4663053535 x 932610749 x 666150561 x 5351045245 x 1332301305 x 1070209427 x 7644352135 x 1528872989 x 10920514945 x 21841
Negative: -1 x -326413745-5 x -65282749-7 x -46630535-35 x -9326107-49 x -6661505-61 x -5351045-245 x -1332301-305 x -1070209-427 x -764435-2135 x -152887-2989 x -109205-14945 x -21841


How do I find the factor combinations of the number 326,413,745?

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 326,413,745, 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.

1 326,413,745
-1 -326,413,745

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 326,413,745.

Example:
1 x 326,413,745 = 326,413,745
and
-1 x -326,413,745 = 326,413,745
Notice both answers equal 326,413,745

With that explanation out of the way, let's continue. Next, we take the number 326,413,745 and divide it by 2:

326,413,745 ÷ 2 = 163,206,872.5

If the quotient is a whole number, then 2 and 163,206,872.5 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:

1 326,413,745
-1 -326,413,745

Now, we try dividing 326,413,745 by 3:

326,413,745 ÷ 3 = 108,804,581.6667

If the quotient is a whole number, then 3 and 108,804,581.6667 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:

1 326,413,745
-1 -326,413,745

Let's try dividing by 4:

326,413,745 ÷ 4 = 81,603,436.25

If the quotient is a whole number, then 4 and 81,603,436.25 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:

1 326,413,745
-1 326,413,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549612453054272,1352,98914,94521,841109,205152,887764,4351,070,2091,332,3015,351,0456,661,5059,326,10746,630,53565,282,749326,413,745
-1-5-7-35-49-61-245-305-427-2,135-2,989-14,945-21,841-109,205-152,887-764,435-1,070,209-1,332,301-5,351,045-6,661,505-9,326,107-46,630,535-65,282,749-326,413,745

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