Q: What are the factor combinations of the number 15,000,007?

 A:
Positive:   1 x 1500000711 x 136363753 x 283019121 x 123967583 x 257292339 x 6413
Negative: -1 x -15000007-11 x -1363637-53 x -283019-121 x -123967-583 x -25729-2339 x -6413


How do I find the factor combinations of the number 15,000,007?

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 15,000,007, 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 15,000,007
-1 -15,000,007

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 15,000,007.

Example:
1 x 15,000,007 = 15,000,007
and
-1 x -15,000,007 = 15,000,007
Notice both answers equal 15,000,007

With that explanation out of the way, let's continue. Next, we take the number 15,000,007 and divide it by 2:

15,000,007 ÷ 2 = 7,500,003.5

If the quotient is a whole number, then 2 and 7,500,003.5 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 15,000,007
-1 -15,000,007

Now, we try dividing 15,000,007 by 3:

15,000,007 ÷ 3 = 5,000,002.3333

If the quotient is a whole number, then 3 and 5,000,002.3333 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 15,000,007
-1 -15,000,007

Let's try dividing by 4:

15,000,007 ÷ 4 = 3,750,001.75

If the quotient is a whole number, then 4 and 3,750,001.75 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 15,000,007
-1 15,000,007
Keep dividing by the next highest number until you cannot divide anymore.

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

111531215832,3396,41325,729123,967283,0191,363,63715,000,007
-1-11-53-121-583-2,339-6,413-25,729-123,967-283,019-1,363,637-15,000,007

More Examples

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