Q: What are the factor combinations of the number 348,145,889?

 A:
Positive:   1 x 3481458897 x 4973512713 x 2678045391 x 3825779101 x 3446989707 x 4924271313 x 2651539191 x 37879
Negative: -1 x -348145889-7 x -49735127-13 x -26780453-91 x -3825779-101 x -3446989-707 x -492427-1313 x -265153-9191 x -37879


How do I find the factor combinations of the number 348,145,889?

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 348,145,889, 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.

1 348,145,889
-1 -348,145,889

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 348,145,889.

Example:
1 x 348,145,889 = 348,145,889
and
-1 x -348,145,889 = 348,145,889
Notice both answers equal 348,145,889

With that explanation out of the way, let's continue. Next, we take the number 348,145,889 and divide it by 2:

348,145,889 ÷ 2 = 174,072,944.5

If the quotient is a whole number, then 2 and 174,072,944.5 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:

1 348,145,889
-1 -348,145,889

Now, we try dividing 348,145,889 by 3:

348,145,889 ÷ 3 = 116,048,629.6667

If the quotient is a whole number, then 3 and 116,048,629.6667 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:

1 348,145,889
-1 -348,145,889

Let's try dividing by 4:

348,145,889 ÷ 4 = 87,036,472.25

If the quotient is a whole number, then 4 and 87,036,472.25 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:

1 348,145,889
-1 348,145,889
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911017071,3139,19137,879265,153492,4273,446,9893,825,77926,780,45349,735,127348,145,889
-1-7-13-91-101-707-1,313-9,191-37,879-265,153-492,427-3,446,989-3,825,779-26,780,453-49,735,127-348,145,889

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