Q: What are the factor combinations of the number 374,011,375?

 A:
Positive:   1 x 3740113755 x 7480227525 x 1496045589 x 4202375125 x 2992091445 x 8404752225 x 16809511125 x 33619
Negative: -1 x -374011375-5 x -74802275-25 x -14960455-89 x -4202375-125 x -2992091-445 x -840475-2225 x -168095-11125 x -33619


How do I find the factor combinations of the number 374,011,375?

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 374,011,375, 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.

1 374,011,375
-1 -374,011,375

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 374,011,375.

Example:
1 x 374,011,375 = 374,011,375
and
-1 x -374,011,375 = 374,011,375
Notice both answers equal 374,011,375

With that explanation out of the way, let's continue. Next, we take the number 374,011,375 and divide it by 2:

374,011,375 ÷ 2 = 187,005,687.5

If the quotient is a whole number, then 2 and 187,005,687.5 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:

1 374,011,375
-1 -374,011,375

Now, we try dividing 374,011,375 by 3:

374,011,375 ÷ 3 = 124,670,458.3333

If the quotient is a whole number, then 3 and 124,670,458.3333 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:

1 374,011,375
-1 -374,011,375

Let's try dividing by 4:

374,011,375 ÷ 4 = 93,502,843.75

If the quotient is a whole number, then 4 and 93,502,843.75 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:

1 374,011,375
-1 374,011,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891254452,22511,12533,619168,095840,4752,992,0914,202,37514,960,45574,802,275374,011,375
-1-5-25-89-125-445-2,225-11,125-33,619-168,095-840,475-2,992,091-4,202,375-14,960,455-74,802,275-374,011,375

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