Q: What are the factor combinations of the number 15,317,245?

 A:
Positive:   1 x 153172455 x 306344943 x 356215191 x 80195215 x 71243373 x 41065955 x 160391865 x 8213
Negative: -1 x -15317245-5 x -3063449-43 x -356215-191 x -80195-215 x -71243-373 x -41065-955 x -16039-1865 x -8213


How do I find the factor combinations of the number 15,317,245?

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 15,317,245, 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 15,317,245
-1 -15,317,245

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 15,317,245.

Example:
1 x 15,317,245 = 15,317,245
and
-1 x -15,317,245 = 15,317,245
Notice both answers equal 15,317,245

With that explanation out of the way, let's continue. Next, we take the number 15,317,245 and divide it by 2:

15,317,245 ÷ 2 = 7,658,622.5

If the quotient is a whole number, then 2 and 7,658,622.5 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 15,317,245
-1 -15,317,245

Now, we try dividing 15,317,245 by 3:

15,317,245 ÷ 3 = 5,105,748.3333

If the quotient is a whole number, then 3 and 5,105,748.3333 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 15,317,245
-1 -15,317,245

Let's try dividing by 4:

15,317,245 ÷ 4 = 3,829,311.25

If the quotient is a whole number, then 4 and 3,829,311.25 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 15,317,245
-1 15,317,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15431912153739551,8658,21316,03941,06571,24380,195356,2153,063,44915,317,245
-1-5-43-191-215-373-955-1,865-8,213-16,039-41,065-71,243-80,195-356,215-3,063,449-15,317,245

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