Q: What are the factor combinations of the number 15,601,525?

 A:
Positive:   1 x 156015255 x 312030525 x 62406131 x 50327541 x 380525155 x 100655205 x 76105491 x 31775775 x 201311025 x 152211271 x 122752455 x 6355
Negative: -1 x -15601525-5 x -3120305-25 x -624061-31 x -503275-41 x -380525-155 x -100655-205 x -76105-491 x -31775-775 x -20131-1025 x -15221-1271 x -12275-2455 x -6355


How do I find the factor combinations of the number 15,601,525?

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 15,601,525, 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 15,601,525
-1 -15,601,525

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 15,601,525.

Example:
1 x 15,601,525 = 15,601,525
and
-1 x -15,601,525 = 15,601,525
Notice both answers equal 15,601,525

With that explanation out of the way, let's continue. Next, we take the number 15,601,525 and divide it by 2:

15,601,525 ÷ 2 = 7,800,762.5

If the quotient is a whole number, then 2 and 7,800,762.5 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 15,601,525
-1 -15,601,525

Now, we try dividing 15,601,525 by 3:

15,601,525 ÷ 3 = 5,200,508.3333

If the quotient is a whole number, then 3 and 5,200,508.3333 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 15,601,525
-1 -15,601,525

Let's try dividing by 4:

15,601,525 ÷ 4 = 3,900,381.25

If the quotient is a whole number, then 4 and 3,900,381.25 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 15,601,525
-1 15,601,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152531411552054917751,0251,2712,4556,35512,27515,22120,13131,77576,105100,655380,525503,275624,0613,120,30515,601,525
-1-5-25-31-41-155-205-491-775-1,025-1,271-2,455-6,355-12,275-15,221-20,131-31,775-76,105-100,655-380,525-503,275-624,061-3,120,305-15,601,525

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