Q: What are the factor combinations of the number 15,497,837?

 A:
Positive:   1 x 1549783723 x 67381967 x 23131189 x 174133113 x 1371491541 x 100572047 x 75712599 x 5963
Negative: -1 x -15497837-23 x -673819-67 x -231311-89 x -174133-113 x -137149-1541 x -10057-2047 x -7571-2599 x -5963


How do I find the factor combinations of the number 15,497,837?

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 15,497,837, 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 15,497,837
-1 -15,497,837

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 15,497,837.

Example:
1 x 15,497,837 = 15,497,837
and
-1 x -15,497,837 = 15,497,837
Notice both answers equal 15,497,837

With that explanation out of the way, let's continue. Next, we take the number 15,497,837 and divide it by 2:

15,497,837 ÷ 2 = 7,748,918.5

If the quotient is a whole number, then 2 and 7,748,918.5 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 15,497,837
-1 -15,497,837

Now, we try dividing 15,497,837 by 3:

15,497,837 ÷ 3 = 5,165,945.6667

If the quotient is a whole number, then 3 and 5,165,945.6667 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 15,497,837
-1 -15,497,837

Let's try dividing by 4:

15,497,837 ÷ 4 = 3,874,459.25

If the quotient is a whole number, then 4 and 3,874,459.25 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 15,497,837
-1 15,497,837
Keep dividing by the next highest number until you cannot divide anymore.

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

12367891131,5412,0472,5995,9637,57110,057137,149174,133231,311673,81915,497,837
-1-23-67-89-113-1,541-2,047-2,599-5,963-7,571-10,057-137,149-174,133-231,311-673,819-15,497,837

More Examples

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