Q: What are the factor combinations of the number 326,677,307?

 A:
Positive:   1 x 32667730711 x 2969793747 x 6950581181 x 1804847517 x 6318711991 x 1640773491 x 935778507 x 38401
Negative: -1 x -326677307-11 x -29697937-47 x -6950581-181 x -1804847-517 x -631871-1991 x -164077-3491 x -93577-8507 x -38401


How do I find the factor combinations of the number 326,677,307?

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 326,677,307, 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.

1 326,677,307
-1 -326,677,307

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 326,677,307.

Example:
1 x 326,677,307 = 326,677,307
and
-1 x -326,677,307 = 326,677,307
Notice both answers equal 326,677,307

With that explanation out of the way, let's continue. Next, we take the number 326,677,307 and divide it by 2:

326,677,307 ÷ 2 = 163,338,653.5

If the quotient is a whole number, then 2 and 163,338,653.5 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:

1 326,677,307
-1 -326,677,307

Now, we try dividing 326,677,307 by 3:

326,677,307 ÷ 3 = 108,892,435.6667

If the quotient is a whole number, then 3 and 108,892,435.6667 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:

1 326,677,307
-1 -326,677,307

Let's try dividing by 4:

326,677,307 ÷ 4 = 81,669,326.75

If the quotient is a whole number, then 4 and 81,669,326.75 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:

1 326,677,307
-1 326,677,307
Keep dividing by the next highest number until you cannot divide anymore.

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

111471815171,9913,4918,50738,40193,577164,077631,8711,804,8476,950,58129,697,937326,677,307
-1-11-47-181-517-1,991-3,491-8,507-38,401-93,577-164,077-631,871-1,804,847-6,950,581-29,697,937-326,677,307

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 326,677,307:


Ask a Question