Q: What are the factor combinations of the number 348,985?

 A:
Positive:   1 x 3489855 x 697977 x 4985513 x 2684535 x 997159 x 591565 x 536991 x 3835169 x 2065295 x 1183413 x 845455 x 767
Negative: -1 x -348985-5 x -69797-7 x -49855-13 x -26845-35 x -9971-59 x -5915-65 x -5369-91 x -3835-169 x -2065-295 x -1183-413 x -845-455 x -767


How do I find the factor combinations of the number 348,985?

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 348,985, 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.

1 348,985
-1 -348,985

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 348,985.

Example:
1 x 348,985 = 348,985
and
-1 x -348,985 = 348,985
Notice both answers equal 348,985

With that explanation out of the way, let's continue. Next, we take the number 348,985 and divide it by 2:

348,985 ÷ 2 = 174,492.5

If the quotient is a whole number, then 2 and 174,492.5 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:

1 348,985
-1 -348,985

Now, we try dividing 348,985 by 3:

348,985 ÷ 3 = 116,328.3333

If the quotient is a whole number, then 3 and 116,328.3333 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:

1 348,985
-1 -348,985

Let's try dividing by 4:

348,985 ÷ 4 = 87,246.25

If the quotient is a whole number, then 4 and 87,246.25 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:

1 348,985
-1 348,985
Keep dividing by the next highest number until you cannot divide anymore.

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

15713355965911692954134557678451,1832,0653,8355,3695,9159,97126,84549,85569,797348,985
-1-5-7-13-35-59-65-91-169-295-413-455-767-845-1,183-2,065-3,835-5,369-5,915-9,971-26,845-49,855-69,797-348,985

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