Q: What are the factor combinations of the number 300,142,093?

 A:
Positive:   1 x 30014209331 x 968200379 x 37992672449 x 122557
Negative: -1 x -300142093-31 x -9682003-79 x -3799267-2449 x -122557


How do I find the factor combinations of the number 300,142,093?

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 300,142,093, 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.

1 300,142,093
-1 -300,142,093

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 300,142,093.

Example:
1 x 300,142,093 = 300,142,093
and
-1 x -300,142,093 = 300,142,093
Notice both answers equal 300,142,093

With that explanation out of the way, let's continue. Next, we take the number 300,142,093 and divide it by 2:

300,142,093 ÷ 2 = 150,071,046.5

If the quotient is a whole number, then 2 and 150,071,046.5 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:

1 300,142,093
-1 -300,142,093

Now, we try dividing 300,142,093 by 3:

300,142,093 ÷ 3 = 100,047,364.3333

If the quotient is a whole number, then 3 and 100,047,364.3333 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:

1 300,142,093
-1 -300,142,093

Let's try dividing by 4:

300,142,093 ÷ 4 = 75,035,523.25

If the quotient is a whole number, then 4 and 75,035,523.25 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:

1 300,142,093
-1 300,142,093
Keep dividing by the next highest number until you cannot divide anymore.

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

131792,449122,5573,799,2679,682,003300,142,093
-1-31-79-2,449-122,557-3,799,267-9,682,003-300,142,093

More Examples

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