Q: What are the factor combinations of the number 250,151,321?

 A:
Positive:   1 x 2501513217 x 3573590319 x 1316585949 x 510512989 x 2810689133 x 1880837623 x 401527931 x 2686911691 x 1479313019 x 828594361 x 5736111837 x 21133
Negative: -1 x -250151321-7 x -35735903-19 x -13165859-49 x -5105129-89 x -2810689-133 x -1880837-623 x -401527-931 x -268691-1691 x -147931-3019 x -82859-4361 x -57361-11837 x -21133


How do I find the factor combinations of the number 250,151,321?

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 250,151,321, 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.

1 250,151,321
-1 -250,151,321

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 250,151,321.

Example:
1 x 250,151,321 = 250,151,321
and
-1 x -250,151,321 = 250,151,321
Notice both answers equal 250,151,321

With that explanation out of the way, let's continue. Next, we take the number 250,151,321 and divide it by 2:

250,151,321 ÷ 2 = 125,075,660.5

If the quotient is a whole number, then 2 and 125,075,660.5 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:

1 250,151,321
-1 -250,151,321

Now, we try dividing 250,151,321 by 3:

250,151,321 ÷ 3 = 83,383,773.6667

If the quotient is a whole number, then 3 and 83,383,773.6667 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:

1 250,151,321
-1 -250,151,321

Let's try dividing by 4:

250,151,321 ÷ 4 = 62,537,830.25

If the quotient is a whole number, then 4 and 62,537,830.25 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:

1 250,151,321
-1 250,151,321
Keep dividing by the next highest number until you cannot divide anymore.

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

171949891336239311,6913,0194,36111,83721,13357,36182,859147,931268,691401,5271,880,8372,810,6895,105,12913,165,85935,735,903250,151,321
-1-7-19-49-89-133-623-931-1,691-3,019-4,361-11,837-21,133-57,361-82,859-147,931-268,691-401,527-1,880,837-2,810,689-5,105,129-13,165,859-35,735,903-250,151,321

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