Q: What are the factor combinations of the number 251,504,311?

 A:
Positive:   1 x 25150431119 x 13237069109 x 23073792071 x 121441
Negative: -1 x -251504311-19 x -13237069-109 x -2307379-2071 x -121441


How do I find the factor combinations of the number 251,504,311?

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 251,504,311, 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.

1 251,504,311
-1 -251,504,311

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 251,504,311.

Example:
1 x 251,504,311 = 251,504,311
and
-1 x -251,504,311 = 251,504,311
Notice both answers equal 251,504,311

With that explanation out of the way, let's continue. Next, we take the number 251,504,311 and divide it by 2:

251,504,311 ÷ 2 = 125,752,155.5

If the quotient is a whole number, then 2 and 125,752,155.5 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:

1 251,504,311
-1 -251,504,311

Now, we try dividing 251,504,311 by 3:

251,504,311 ÷ 3 = 83,834,770.3333

If the quotient is a whole number, then 3 and 83,834,770.3333 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:

1 251,504,311
-1 -251,504,311

Let's try dividing by 4:

251,504,311 ÷ 4 = 62,876,077.75

If the quotient is a whole number, then 4 and 62,876,077.75 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:

1 251,504,311
-1 251,504,311
Keep dividing by the next highest number until you cannot divide anymore.

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

1191092,071121,4412,307,37913,237,069251,504,311
-1-19-109-2,071-121,441-2,307,379-13,237,069-251,504,311

More Examples

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