Q: What are the factor combinations of the number 371,702,185?

 A:
Positive:   1 x 3717021855 x 7434043737 x 10046005185 x 2009201859 x 4327152339 x 1589154295 x 8654311695 x 31783
Negative: -1 x -371702185-5 x -74340437-37 x -10046005-185 x -2009201-859 x -432715-2339 x -158915-4295 x -86543-11695 x -31783


How do I find the factor combinations of the number 371,702,185?

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 371,702,185, 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.

1 371,702,185
-1 -371,702,185

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 371,702,185.

Example:
1 x 371,702,185 = 371,702,185
and
-1 x -371,702,185 = 371,702,185
Notice both answers equal 371,702,185

With that explanation out of the way, let's continue. Next, we take the number 371,702,185 and divide it by 2:

371,702,185 ÷ 2 = 185,851,092.5

If the quotient is a whole number, then 2 and 185,851,092.5 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:

1 371,702,185
-1 -371,702,185

Now, we try dividing 371,702,185 by 3:

371,702,185 ÷ 3 = 123,900,728.3333

If the quotient is a whole number, then 3 and 123,900,728.3333 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:

1 371,702,185
-1 -371,702,185

Let's try dividing by 4:

371,702,185 ÷ 4 = 92,925,546.25

If the quotient is a whole number, then 4 and 92,925,546.25 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:

1 371,702,185
-1 371,702,185
Keep dividing by the next highest number until you cannot divide anymore.

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

15371858592,3394,29511,69531,78386,543158,915432,7152,009,20110,046,00574,340,437371,702,185
-1-5-37-185-859-2,339-4,295-11,695-31,783-86,543-158,915-432,715-2,009,201-10,046,005-74,340,437-371,702,185

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