Q: What are the factor combinations of the number 374,061,355?

 A:
Positive:   1 x 3740613555 x 74812271127 x 2945365457 x 818515635 x 5890731289 x 2901952285 x 1637036445 x 58039
Negative: -1 x -374061355-5 x -74812271-127 x -2945365-457 x -818515-635 x -589073-1289 x -290195-2285 x -163703-6445 x -58039


How do I find the factor combinations of the number 374,061,355?

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 374,061,355, 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.

1 374,061,355
-1 -374,061,355

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 374,061,355.

Example:
1 x 374,061,355 = 374,061,355
and
-1 x -374,061,355 = 374,061,355
Notice both answers equal 374,061,355

With that explanation out of the way, let's continue. Next, we take the number 374,061,355 and divide it by 2:

374,061,355 ÷ 2 = 187,030,677.5

If the quotient is a whole number, then 2 and 187,030,677.5 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:

1 374,061,355
-1 -374,061,355

Now, we try dividing 374,061,355 by 3:

374,061,355 ÷ 3 = 124,687,118.3333

If the quotient is a whole number, then 3 and 124,687,118.3333 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:

1 374,061,355
-1 -374,061,355

Let's try dividing by 4:

374,061,355 ÷ 4 = 93,515,338.75

If the quotient is a whole number, then 4 and 93,515,338.75 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:

1 374,061,355
-1 374,061,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151274576351,2892,2856,44558,039163,703290,195589,073818,5152,945,36574,812,271374,061,355
-1-5-127-457-635-1,289-2,285-6,445-58,039-163,703-290,195-589,073-818,515-2,945,365-74,812,271-374,061,355

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