Q: What are the factor combinations of the number 250,371,037?

 A:
Positive:   1 x 2503710377 x 3576729119 x 1317742349 x 5109613133 x 1882489931 x 268927
Negative: -1 x -250371037-7 x -35767291-19 x -13177423-49 x -5109613-133 x -1882489-931 x -268927


How do I find the factor combinations of the number 250,371,037?

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 250,371,037, 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.

1 250,371,037
-1 -250,371,037

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 250,371,037.

Example:
1 x 250,371,037 = 250,371,037
and
-1 x -250,371,037 = 250,371,037
Notice both answers equal 250,371,037

With that explanation out of the way, let's continue. Next, we take the number 250,371,037 and divide it by 2:

250,371,037 ÷ 2 = 125,185,518.5

If the quotient is a whole number, then 2 and 125,185,518.5 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:

1 250,371,037
-1 -250,371,037

Now, we try dividing 250,371,037 by 3:

250,371,037 ÷ 3 = 83,457,012.3333

If the quotient is a whole number, then 3 and 83,457,012.3333 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:

1 250,371,037
-1 -250,371,037

Let's try dividing by 4:

250,371,037 ÷ 4 = 62,592,759.25

If the quotient is a whole number, then 4 and 62,592,759.25 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:

1 250,371,037
-1 250,371,037
Keep dividing by the next highest number until you cannot divide anymore.

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

171949133931268,9271,882,4895,109,61313,177,42335,767,291250,371,037
-1-7-19-49-133-931-268,927-1,882,489-5,109,613-13,177,423-35,767,291-250,371,037

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