Q: What are the factor combinations of the number 250,454,645?

 A:
Positive:   1 x 2504546455 x 500909297 x 3577923535 x 7155847223 x 11231151115 x 2246231561 x 1604457805 x 32089
Negative: -1 x -250454645-5 x -50090929-7 x -35779235-35 x -7155847-223 x -1123115-1115 x -224623-1561 x -160445-7805 x -32089


How do I find the factor combinations of the number 250,454,645?

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 250,454,645, 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.

1 250,454,645
-1 -250,454,645

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 250,454,645.

Example:
1 x 250,454,645 = 250,454,645
and
-1 x -250,454,645 = 250,454,645
Notice both answers equal 250,454,645

With that explanation out of the way, let's continue. Next, we take the number 250,454,645 and divide it by 2:

250,454,645 ÷ 2 = 125,227,322.5

If the quotient is a whole number, then 2 and 125,227,322.5 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:

1 250,454,645
-1 -250,454,645

Now, we try dividing 250,454,645 by 3:

250,454,645 ÷ 3 = 83,484,881.6667

If the quotient is a whole number, then 3 and 83,484,881.6667 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:

1 250,454,645
-1 -250,454,645

Let's try dividing by 4:

250,454,645 ÷ 4 = 62,613,661.25

If the quotient is a whole number, then 4 and 62,613,661.25 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:

1 250,454,645
-1 250,454,645
Keep dividing by the next highest number until you cannot divide anymore.

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

157352231,1151,5617,80532,089160,445224,6231,123,1157,155,84735,779,23550,090,929250,454,645
-1-5-7-35-223-1,115-1,561-7,805-32,089-160,445-224,623-1,123,115-7,155,847-35,779,235-50,090,929-250,454,645

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