Q: What are the factor combinations of the number 250,388,845?

 A:
Positive:   1 x 2503888455 x 500777697 x 3576983535 x 715396741 x 6107045205 x 1221409287 x 8724351435 x 174487
Negative: -1 x -250388845-5 x -50077769-7 x -35769835-35 x -7153967-41 x -6107045-205 x -1221409-287 x -872435-1435 x -174487


How do I find the factor combinations of the number 250,388,845?

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 250,388,845, 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.

1 250,388,845
-1 -250,388,845

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 250,388,845.

Example:
1 x 250,388,845 = 250,388,845
and
-1 x -250,388,845 = 250,388,845
Notice both answers equal 250,388,845

With that explanation out of the way, let's continue. Next, we take the number 250,388,845 and divide it by 2:

250,388,845 ÷ 2 = 125,194,422.5

If the quotient is a whole number, then 2 and 125,194,422.5 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:

1 250,388,845
-1 -250,388,845

Now, we try dividing 250,388,845 by 3:

250,388,845 ÷ 3 = 83,462,948.3333

If the quotient is a whole number, then 3 and 83,462,948.3333 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:

1 250,388,845
-1 -250,388,845

Let's try dividing by 4:

250,388,845 ÷ 4 = 62,597,211.25

If the quotient is a whole number, then 4 and 62,597,211.25 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:

1 250,388,845
-1 250,388,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,435174,487872,4351,221,4096,107,0457,153,96735,769,83550,077,769250,388,845
-1-5-7-35-41-205-287-1,435-174,487-872,435-1,221,409-6,107,045-7,153,967-35,769,835-50,077,769-250,388,845

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