Q: What are the factor combinations of the number 371,685,725?

 A:
Positive:   1 x 3716857255 x 7433714525 x 14867429157 x 2367425281 x 1322725337 x 1102925785 x 4734851405 x 2645451685 x 2205853925 x 946977025 x 529098425 x 44117
Negative: -1 x -371685725-5 x -74337145-25 x -14867429-157 x -2367425-281 x -1322725-337 x -1102925-785 x -473485-1405 x -264545-1685 x -220585-3925 x -94697-7025 x -52909-8425 x -44117


How do I find the factor combinations of the number 371,685,725?

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 371,685,725, 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.

1 371,685,725
-1 -371,685,725

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 371,685,725.

Example:
1 x 371,685,725 = 371,685,725
and
-1 x -371,685,725 = 371,685,725
Notice both answers equal 371,685,725

With that explanation out of the way, let's continue. Next, we take the number 371,685,725 and divide it by 2:

371,685,725 ÷ 2 = 185,842,862.5

If the quotient is a whole number, then 2 and 185,842,862.5 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:

1 371,685,725
-1 -371,685,725

Now, we try dividing 371,685,725 by 3:

371,685,725 ÷ 3 = 123,895,241.6667

If the quotient is a whole number, then 3 and 123,895,241.6667 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:

1 371,685,725
-1 -371,685,725

Let's try dividing by 4:

371,685,725 ÷ 4 = 92,921,431.25

If the quotient is a whole number, then 4 and 92,921,431.25 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:

1 371,685,725
-1 371,685,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15251572813377851,4051,6853,9257,0258,42544,11752,90994,697220,585264,545473,4851,102,9251,322,7252,367,42514,867,42974,337,145371,685,725
-1-5-25-157-281-337-785-1,405-1,685-3,925-7,025-8,425-44,117-52,909-94,697-220,585-264,545-473,485-1,102,925-1,322,725-2,367,425-14,867,429-74,337,145-371,685,725

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