Q: What are the factor combinations of the number 15,020,395?

 A:
Positive:   1 x 150203955 x 300407913 x 115541565 x 23108367 x 224185335 x 44837871 x 172453449 x 4355
Negative: -1 x -15020395-5 x -3004079-13 x -1155415-65 x -231083-67 x -224185-335 x -44837-871 x -17245-3449 x -4355


How do I find the factor combinations of the number 15,020,395?

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 15,020,395, 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 15,020,395
-1 -15,020,395

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 15,020,395.

Example:
1 x 15,020,395 = 15,020,395
and
-1 x -15,020,395 = 15,020,395
Notice both answers equal 15,020,395

With that explanation out of the way, let's continue. Next, we take the number 15,020,395 and divide it by 2:

15,020,395 ÷ 2 = 7,510,197.5

If the quotient is a whole number, then 2 and 7,510,197.5 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 15,020,395
-1 -15,020,395

Now, we try dividing 15,020,395 by 3:

15,020,395 ÷ 3 = 5,006,798.3333

If the quotient is a whole number, then 3 and 5,006,798.3333 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 15,020,395
-1 -15,020,395

Let's try dividing by 4:

15,020,395 ÷ 4 = 3,755,098.75

If the quotient is a whole number, then 4 and 3,755,098.75 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 15,020,395
-1 15,020,395
Keep dividing by the next highest number until you cannot divide anymore.

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

151365673358713,4494,35517,24544,837224,185231,0831,155,4153,004,07915,020,395
-1-5-13-65-67-335-871-3,449-4,355-17,245-44,837-224,185-231,083-1,155,415-3,004,079-15,020,395

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