Q: What are the factor combinations of the number 15,108,971?

 A:
Positive:   1 x 1510897117 x 88876319 x 79520929 x 520999323 x 46777493 x 30647551 x 274211613 x 9367
Negative: -1 x -15108971-17 x -888763-19 x -795209-29 x -520999-323 x -46777-493 x -30647-551 x -27421-1613 x -9367


How do I find the factor combinations of the number 15,108,971?

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 15,108,971, 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 15,108,971
-1 -15,108,971

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 15,108,971.

Example:
1 x 15,108,971 = 15,108,971
and
-1 x -15,108,971 = 15,108,971
Notice both answers equal 15,108,971

With that explanation out of the way, let's continue. Next, we take the number 15,108,971 and divide it by 2:

15,108,971 ÷ 2 = 7,554,485.5

If the quotient is a whole number, then 2 and 7,554,485.5 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 15,108,971
-1 -15,108,971

Now, we try dividing 15,108,971 by 3:

15,108,971 ÷ 3 = 5,036,323.6667

If the quotient is a whole number, then 3 and 5,036,323.6667 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 15,108,971
-1 -15,108,971

Let's try dividing by 4:

15,108,971 ÷ 4 = 3,777,242.75

If the quotient is a whole number, then 4 and 3,777,242.75 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 15,108,971
-1 15,108,971
Keep dividing by the next highest number until you cannot divide anymore.

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

11719293234935511,6139,36727,42130,64746,777520,999795,209888,76315,108,971
-1-17-19-29-323-493-551-1,613-9,367-27,421-30,647-46,777-520,999-795,209-888,763-15,108,971

More Examples

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