Q: What are the factor combinations of the number 376,388,233?

 A:
Positive:   1 x 37638823313 x 2895294119 x 19809907181 x 2079493247 x 15238392353 x 1599613439 x 1094478419 x 44707
Negative: -1 x -376388233-13 x -28952941-19 x -19809907-181 x -2079493-247 x -1523839-2353 x -159961-3439 x -109447-8419 x -44707


How do I find the factor combinations of the number 376,388,233?

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 376,388,233, 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.

1 376,388,233
-1 -376,388,233

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 376,388,233.

Example:
1 x 376,388,233 = 376,388,233
and
-1 x -376,388,233 = 376,388,233
Notice both answers equal 376,388,233

With that explanation out of the way, let's continue. Next, we take the number 376,388,233 and divide it by 2:

376,388,233 ÷ 2 = 188,194,116.5

If the quotient is a whole number, then 2 and 188,194,116.5 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:

1 376,388,233
-1 -376,388,233

Now, we try dividing 376,388,233 by 3:

376,388,233 ÷ 3 = 125,462,744.3333

If the quotient is a whole number, then 3 and 125,462,744.3333 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:

1 376,388,233
-1 -376,388,233

Let's try dividing by 4:

376,388,233 ÷ 4 = 94,097,058.25

If the quotient is a whole number, then 4 and 94,097,058.25 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:

1 376,388,233
-1 376,388,233
Keep dividing by the next highest number until you cannot divide anymore.

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

113191812472,3533,4398,41944,707109,447159,9611,523,8392,079,49319,809,90728,952,941376,388,233
-1-13-19-181-247-2,353-3,439-8,419-44,707-109,447-159,961-1,523,839-2,079,493-19,809,907-28,952,941-376,388,233

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