Q: What are the factor combinations of the number 372,143,621?

 A:
Positive:   1 x 37214362159 x 630751989 x 4181389131 x 2840791541 x 6878815251 x 708717729 x 4814911659 x 31919
Negative: -1 x -372143621-59 x -6307519-89 x -4181389-131 x -2840791-541 x -687881-5251 x -70871-7729 x -48149-11659 x -31919


How do I find the factor combinations of the number 372,143,621?

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 372,143,621, 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.

1 372,143,621
-1 -372,143,621

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 372,143,621.

Example:
1 x 372,143,621 = 372,143,621
and
-1 x -372,143,621 = 372,143,621
Notice both answers equal 372,143,621

With that explanation out of the way, let's continue. Next, we take the number 372,143,621 and divide it by 2:

372,143,621 ÷ 2 = 186,071,810.5

If the quotient is a whole number, then 2 and 186,071,810.5 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:

1 372,143,621
-1 -372,143,621

Now, we try dividing 372,143,621 by 3:

372,143,621 ÷ 3 = 124,047,873.6667

If the quotient is a whole number, then 3 and 124,047,873.6667 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:

1 372,143,621
-1 -372,143,621

Let's try dividing by 4:

372,143,621 ÷ 4 = 93,035,905.25

If the quotient is a whole number, then 4 and 93,035,905.25 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:

1 372,143,621
-1 372,143,621
Keep dividing by the next highest number until you cannot divide anymore.

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

159891315415,2517,72911,65931,91948,14970,871687,8812,840,7914,181,3896,307,519372,143,621
-1-59-89-131-541-5,251-7,729-11,659-31,919-48,149-70,871-687,881-2,840,791-4,181,389-6,307,519-372,143,621

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