Q: What are the factor combinations of the number 16,124,675?

 A:
Positive:   1 x 161246755 x 32249357 x 230352525 x 64498735 x 46070549 x 329075175 x 92141245 x 658151225 x 13163
Negative: -1 x -16124675-5 x -3224935-7 x -2303525-25 x -644987-35 x -460705-49 x -329075-175 x -92141-245 x -65815-1225 x -13163


How do I find the factor combinations of the number 16,124,675?

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 16,124,675, 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 16,124,675
-1 -16,124,675

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 16,124,675.

Example:
1 x 16,124,675 = 16,124,675
and
-1 x -16,124,675 = 16,124,675
Notice both answers equal 16,124,675

With that explanation out of the way, let's continue. Next, we take the number 16,124,675 and divide it by 2:

16,124,675 ÷ 2 = 8,062,337.5

If the quotient is a whole number, then 2 and 8,062,337.5 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 16,124,675
-1 -16,124,675

Now, we try dividing 16,124,675 by 3:

16,124,675 ÷ 3 = 5,374,891.6667

If the quotient is a whole number, then 3 and 5,374,891.6667 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 16,124,675
-1 -16,124,675

Let's try dividing by 4:

16,124,675 ÷ 4 = 4,031,168.75

If the quotient is a whole number, then 4 and 4,031,168.75 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 16,124,675
-1 16,124,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22513,16365,81592,141329,075460,705644,9872,303,5253,224,93516,124,675
-1-5-7-25-35-49-175-245-1,225-13,163-65,815-92,141-329,075-460,705-644,987-2,303,525-3,224,935-16,124,675

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