Q: What are the factor combinations of the number 341,004,001?

 A:
Positive:   1 x 34100400113 x 2623107719 x 17947579247 x 1380583353 x 9660173911 x 871914589 x 743096707 x 50843
Negative: -1 x -341004001-13 x -26231077-19 x -17947579-247 x -1380583-353 x -966017-3911 x -87191-4589 x -74309-6707 x -50843


How do I find the factor combinations of the number 341,004,001?

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 341,004,001, 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.

1 341,004,001
-1 -341,004,001

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 341,004,001.

Example:
1 x 341,004,001 = 341,004,001
and
-1 x -341,004,001 = 341,004,001
Notice both answers equal 341,004,001

With that explanation out of the way, let's continue. Next, we take the number 341,004,001 and divide it by 2:

341,004,001 ÷ 2 = 170,502,000.5

If the quotient is a whole number, then 2 and 170,502,000.5 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:

1 341,004,001
-1 -341,004,001

Now, we try dividing 341,004,001 by 3:

341,004,001 ÷ 3 = 113,668,000.3333

If the quotient is a whole number, then 3 and 113,668,000.3333 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:

1 341,004,001
-1 -341,004,001

Let's try dividing by 4:

341,004,001 ÷ 4 = 85,251,000.25

If the quotient is a whole number, then 4 and 85,251,000.25 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:

1 341,004,001
-1 341,004,001
Keep dividing by the next highest number until you cannot divide anymore.

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

113192473533,9114,5896,70750,84374,30987,191966,0171,380,58317,947,57926,231,077341,004,001
-1-13-19-247-353-3,911-4,589-6,707-50,843-74,309-87,191-966,017-1,380,583-17,947,579-26,231,077-341,004,001

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