Q: What are the factor combinations of the number 250,644,667?

 A:
Positive:   1 x 2506446677 x 3580638113 x 1928035991 x 2754337853 x 2938393229 x 776235971 x 4197711089 x 22603
Negative: -1 x -250644667-7 x -35806381-13 x -19280359-91 x -2754337-853 x -293839-3229 x -77623-5971 x -41977-11089 x -22603


How do I find the factor combinations of the number 250,644,667?

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 250,644,667, 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.

1 250,644,667
-1 -250,644,667

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 250,644,667.

Example:
1 x 250,644,667 = 250,644,667
and
-1 x -250,644,667 = 250,644,667
Notice both answers equal 250,644,667

With that explanation out of the way, let's continue. Next, we take the number 250,644,667 and divide it by 2:

250,644,667 ÷ 2 = 125,322,333.5

If the quotient is a whole number, then 2 and 125,322,333.5 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:

1 250,644,667
-1 -250,644,667

Now, we try dividing 250,644,667 by 3:

250,644,667 ÷ 3 = 83,548,222.3333

If the quotient is a whole number, then 3 and 83,548,222.3333 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:

1 250,644,667
-1 -250,644,667

Let's try dividing by 4:

250,644,667 ÷ 4 = 62,661,166.75

If the quotient is a whole number, then 4 and 62,661,166.75 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:

1 250,644,667
-1 250,644,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1713918533,2295,97111,08922,60341,97777,623293,8392,754,33719,280,35935,806,381250,644,667
-1-7-13-91-853-3,229-5,971-11,089-22,603-41,977-77,623-293,839-2,754,337-19,280,359-35,806,381-250,644,667

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 250,644,667:


Ask a Question