Q: What are the factor combinations of the number 372,533,585?

 A:
Positive:   1 x 3725335855 x 7450671741 x 908618579 x 4715615205 x 1817237395 x 9431233239 x 11501516195 x 23003
Negative: -1 x -372533585-5 x -74506717-41 x -9086185-79 x -4715615-205 x -1817237-395 x -943123-3239 x -115015-16195 x -23003


How do I find the factor combinations of the number 372,533,585?

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 372,533,585, 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.

1 372,533,585
-1 -372,533,585

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 372,533,585.

Example:
1 x 372,533,585 = 372,533,585
and
-1 x -372,533,585 = 372,533,585
Notice both answers equal 372,533,585

With that explanation out of the way, let's continue. Next, we take the number 372,533,585 and divide it by 2:

372,533,585 ÷ 2 = 186,266,792.5

If the quotient is a whole number, then 2 and 186,266,792.5 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:

1 372,533,585
-1 -372,533,585

Now, we try dividing 372,533,585 by 3:

372,533,585 ÷ 3 = 124,177,861.6667

If the quotient is a whole number, then 3 and 124,177,861.6667 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:

1 372,533,585
-1 -372,533,585

Let's try dividing by 4:

372,533,585 ÷ 4 = 93,133,396.25

If the quotient is a whole number, then 4 and 93,133,396.25 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:

1 372,533,585
-1 372,533,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1541792053953,23916,19523,003115,015943,1231,817,2374,715,6159,086,18574,506,717372,533,585
-1-5-41-79-205-395-3,239-16,195-23,003-115,015-943,123-1,817,237-4,715,615-9,086,185-74,506,717-372,533,585

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