Q: What are the factor combinations of the number 15,017,485?

 A:
Positive:   1 x 150174855 x 30034977 x 214535531 x 48443535 x 429071155 x 96887217 x 692051085 x 13841
Negative: -1 x -15017485-5 x -3003497-7 x -2145355-31 x -484435-35 x -429071-155 x -96887-217 x -69205-1085 x -13841


How do I find the factor combinations of the number 15,017,485?

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 15,017,485, 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 15,017,485
-1 -15,017,485

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 15,017,485.

Example:
1 x 15,017,485 = 15,017,485
and
-1 x -15,017,485 = 15,017,485
Notice both answers equal 15,017,485

With that explanation out of the way, let's continue. Next, we take the number 15,017,485 and divide it by 2:

15,017,485 ÷ 2 = 7,508,742.5

If the quotient is a whole number, then 2 and 7,508,742.5 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 15,017,485
-1 -15,017,485

Now, we try dividing 15,017,485 by 3:

15,017,485 ÷ 3 = 5,005,828.3333

If the quotient is a whole number, then 3 and 5,005,828.3333 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 15,017,485
-1 -15,017,485

Let's try dividing by 4:

15,017,485 ÷ 4 = 3,754,371.25

If the quotient is a whole number, then 4 and 3,754,371.25 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 15,017,485
-1 15,017,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08513,84169,20596,887429,071484,4352,145,3553,003,49715,017,485
-1-5-7-31-35-155-217-1,085-13,841-69,205-96,887-429,071-484,435-2,145,355-3,003,497-15,017,485

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