Q: What are the factor combinations of the number 250,151,345?

 A:
Positive:   1 x 2501513455 x 5003026917 x 1471478585 x 29429571069 x 2340052753 x 908655345 x 4680113765 x 18173
Negative: -1 x -250151345-5 x -50030269-17 x -14714785-85 x -2942957-1069 x -234005-2753 x -90865-5345 x -46801-13765 x -18173


How do I find the factor combinations of the number 250,151,345?

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 250,151,345, 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.

1 250,151,345
-1 -250,151,345

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 250,151,345.

Example:
1 x 250,151,345 = 250,151,345
and
-1 x -250,151,345 = 250,151,345
Notice both answers equal 250,151,345

With that explanation out of the way, let's continue. Next, we take the number 250,151,345 and divide it by 2:

250,151,345 ÷ 2 = 125,075,672.5

If the quotient is a whole number, then 2 and 125,075,672.5 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:

1 250,151,345
-1 -250,151,345

Now, we try dividing 250,151,345 by 3:

250,151,345 ÷ 3 = 83,383,781.6667

If the quotient is a whole number, then 3 and 83,383,781.6667 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:

1 250,151,345
-1 -250,151,345

Let's try dividing by 4:

250,151,345 ÷ 4 = 62,537,836.25

If the quotient is a whole number, then 4 and 62,537,836.25 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:

1 250,151,345
-1 250,151,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,0692,7535,34513,76518,17346,80190,865234,0052,942,95714,714,78550,030,269250,151,345
-1-5-17-85-1,069-2,753-5,345-13,765-18,173-46,801-90,865-234,005-2,942,957-14,714,785-50,030,269-250,151,345

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