Q: What are the factor combinations of the number 13,890,001?

 A:
Positive:   1 x 13890001199 x 69799223 x 62287313 x 44377
Negative: -1 x -13890001-199 x -69799-223 x -62287-313 x -44377


How do I find the factor combinations of the number 13,890,001?

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 13,890,001, 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 13,890,001
-1 -13,890,001

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 13,890,001.

Example:
1 x 13,890,001 = 13,890,001
and
-1 x -13,890,001 = 13,890,001
Notice both answers equal 13,890,001

With that explanation out of the way, let's continue. Next, we take the number 13,890,001 and divide it by 2:

13,890,001 ÷ 2 = 6,945,000.5

If the quotient is a whole number, then 2 and 6,945,000.5 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 13,890,001
-1 -13,890,001

Now, we try dividing 13,890,001 by 3:

13,890,001 ÷ 3 = 4,630,000.3333

If the quotient is a whole number, then 3 and 4,630,000.3333 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 13,890,001
-1 -13,890,001

Let's try dividing by 4:

13,890,001 ÷ 4 = 3,472,500.25

If the quotient is a whole number, then 4 and 3,472,500.25 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 13,890,001
-1 13,890,001
Keep dividing by the next highest number until you cannot divide anymore.

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

119922331344,37762,28769,79913,890,001
-1-199-223-313-44,377-62,287-69,799-13,890,001

More Examples

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