Q: What are the factor combinations of the number 5,515,315?

 A:
Positive:   1 x 55153155 x 110306313 x 42425561 x 9041565 x 84851107 x 51545169 x 32635305 x 18083535 x 10309793 x 6955845 x 65271391 x 3965
Negative: -1 x -5515315-5 x -1103063-13 x -424255-61 x -90415-65 x -84851-107 x -51545-169 x -32635-305 x -18083-535 x -10309-793 x -6955-845 x -6527-1391 x -3965


How do I find the factor combinations of the number 5,515,315?

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 5,515,315, 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 5,515,315
-1 -5,515,315

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 5,515,315.

Example:
1 x 5,515,315 = 5,515,315
and
-1 x -5,515,315 = 5,515,315
Notice both answers equal 5,515,315

With that explanation out of the way, let's continue. Next, we take the number 5,515,315 and divide it by 2:

5,515,315 ÷ 2 = 2,757,657.5

If the quotient is a whole number, then 2 and 2,757,657.5 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 5,515,315
-1 -5,515,315

Now, we try dividing 5,515,315 by 3:

5,515,315 ÷ 3 = 1,838,438.3333

If the quotient is a whole number, then 3 and 1,838,438.3333 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 5,515,315
-1 -5,515,315

Let's try dividing by 4:

5,515,315 ÷ 4 = 1,378,828.75

If the quotient is a whole number, then 4 and 1,378,828.75 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 5,515,315
-1 5,515,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151361651071693055357938451,3913,9656,5276,95510,30918,08332,63551,54584,85190,415424,2551,103,0635,515,315
-1-5-13-61-65-107-169-305-535-793-845-1,391-3,965-6,527-6,955-10,309-18,083-32,635-51,545-84,851-90,415-424,255-1,103,063-5,515,315

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