Q: What are the factor combinations of the number 15,480,395?

 A:
Positive:   1 x 154803955 x 30960797 x 221148535 x 442297257 x 602351285 x 120471721 x 89951799 x 8605
Negative: -1 x -15480395-5 x -3096079-7 x -2211485-35 x -442297-257 x -60235-1285 x -12047-1721 x -8995-1799 x -8605


How do I find the factor combinations of the number 15,480,395?

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 15,480,395, 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 15,480,395
-1 -15,480,395

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 15,480,395.

Example:
1 x 15,480,395 = 15,480,395
and
-1 x -15,480,395 = 15,480,395
Notice both answers equal 15,480,395

With that explanation out of the way, let's continue. Next, we take the number 15,480,395 and divide it by 2:

15,480,395 ÷ 2 = 7,740,197.5

If the quotient is a whole number, then 2 and 7,740,197.5 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 15,480,395
-1 -15,480,395

Now, we try dividing 15,480,395 by 3:

15,480,395 ÷ 3 = 5,160,131.6667

If the quotient is a whole number, then 3 and 5,160,131.6667 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 15,480,395
-1 -15,480,395

Let's try dividing by 4:

15,480,395 ÷ 4 = 3,870,098.75

If the quotient is a whole number, then 4 and 3,870,098.75 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 15,480,395
-1 15,480,395
Keep dividing by the next highest number until you cannot divide anymore.

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

157352571,2851,7211,7998,6058,99512,04760,235442,2972,211,4853,096,07915,480,395
-1-5-7-35-257-1,285-1,721-1,799-8,605-8,995-12,047-60,235-442,297-2,211,485-3,096,079-15,480,395

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