Q: What are the factor combinations of the number 250,630,247?

 A:
Positive:   1 x 2506302477 x 3580432149 x 5114903157 x 15963711099 x 2280537693 x 32579
Negative: -1 x -250630247-7 x -35804321-49 x -5114903-157 x -1596371-1099 x -228053-7693 x -32579


How do I find the factor combinations of the number 250,630,247?

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 250,630,247, 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.

1 250,630,247
-1 -250,630,247

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 250,630,247.

Example:
1 x 250,630,247 = 250,630,247
and
-1 x -250,630,247 = 250,630,247
Notice both answers equal 250,630,247

With that explanation out of the way, let's continue. Next, we take the number 250,630,247 and divide it by 2:

250,630,247 ÷ 2 = 125,315,123.5

If the quotient is a whole number, then 2 and 125,315,123.5 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:

1 250,630,247
-1 -250,630,247

Now, we try dividing 250,630,247 by 3:

250,630,247 ÷ 3 = 83,543,415.6667

If the quotient is a whole number, then 3 and 83,543,415.6667 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:

1 250,630,247
-1 -250,630,247

Let's try dividing by 4:

250,630,247 ÷ 4 = 62,657,561.75

If the quotient is a whole number, then 4 and 62,657,561.75 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:

1 250,630,247
-1 250,630,247
Keep dividing by the next highest number until you cannot divide anymore.

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

17491571,0997,69332,579228,0531,596,3715,114,90335,804,321250,630,247
-1-7-49-157-1,099-7,693-32,579-228,053-1,596,371-5,114,903-35,804,321-250,630,247

More Examples

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