Q: What are the factor combinations of the number 371,114,725?

 A:
Positive:   1 x 3711147255 x 7422294525 x 1484458943 x 863057597 x 3825925215 x 1726115485 x 7651851075 x 3452232425 x 1530373559 x 1042754171 x 8897517795 x 20855
Negative: -1 x -371114725-5 x -74222945-25 x -14844589-43 x -8630575-97 x -3825925-215 x -1726115-485 x -765185-1075 x -345223-2425 x -153037-3559 x -104275-4171 x -88975-17795 x -20855


How do I find the factor combinations of the number 371,114,725?

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 371,114,725, 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.

1 371,114,725
-1 -371,114,725

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 371,114,725.

Example:
1 x 371,114,725 = 371,114,725
and
-1 x -371,114,725 = 371,114,725
Notice both answers equal 371,114,725

With that explanation out of the way, let's continue. Next, we take the number 371,114,725 and divide it by 2:

371,114,725 ÷ 2 = 185,557,362.5

If the quotient is a whole number, then 2 and 185,557,362.5 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:

1 371,114,725
-1 -371,114,725

Now, we try dividing 371,114,725 by 3:

371,114,725 ÷ 3 = 123,704,908.3333

If the quotient is a whole number, then 3 and 123,704,908.3333 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:

1 371,114,725
-1 -371,114,725

Let's try dividing by 4:

371,114,725 ÷ 4 = 92,778,681.25

If the quotient is a whole number, then 4 and 92,778,681.25 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:

1 371,114,725
-1 371,114,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152543972154851,0752,4253,5594,17117,79520,85588,975104,275153,037345,223765,1851,726,1153,825,9258,630,57514,844,58974,222,945371,114,725
-1-5-25-43-97-215-485-1,075-2,425-3,559-4,171-17,795-20,855-88,975-104,275-153,037-345,223-765,185-1,726,115-3,825,925-8,630,575-14,844,589-74,222,945-371,114,725

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