Q: What are the factor combinations of the number 15,071,525?

 A:
Positive:   1 x 150715255 x 30143057 x 215307525 x 60286135 x 43061571 x 212275175 x 86123355 x 42455497 x 303251213 x 124251775 x 84912485 x 6065
Negative: -1 x -15071525-5 x -3014305-7 x -2153075-25 x -602861-35 x -430615-71 x -212275-175 x -86123-355 x -42455-497 x -30325-1213 x -12425-1775 x -8491-2485 x -6065


How do I find the factor combinations of the number 15,071,525?

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 15,071,525, 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 15,071,525
-1 -15,071,525

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 15,071,525.

Example:
1 x 15,071,525 = 15,071,525
and
-1 x -15,071,525 = 15,071,525
Notice both answers equal 15,071,525

With that explanation out of the way, let's continue. Next, we take the number 15,071,525 and divide it by 2:

15,071,525 ÷ 2 = 7,535,762.5

If the quotient is a whole number, then 2 and 7,535,762.5 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 15,071,525
-1 -15,071,525

Now, we try dividing 15,071,525 by 3:

15,071,525 ÷ 3 = 5,023,841.6667

If the quotient is a whole number, then 3 and 5,023,841.6667 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 15,071,525
-1 -15,071,525

Let's try dividing by 4:

15,071,525 ÷ 4 = 3,767,881.25

If the quotient is a whole number, then 4 and 3,767,881.25 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 15,071,525
-1 15,071,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535711753554971,2131,7752,4856,0658,49112,42530,32542,45586,123212,275430,615602,8612,153,0753,014,30515,071,525
-1-5-7-25-35-71-175-355-497-1,213-1,775-2,485-6,065-8,491-12,425-30,325-42,455-86,123-212,275-430,615-602,861-2,153,075-3,014,305-15,071,525

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