Q: What are the factor combinations of the number 17,473,313?

 A:
Positive:   1 x 1747331311 x 158848313 x 134410171 x 246103143 x 122191781 x 22373923 x 189311721 x 10153
Negative: -1 x -17473313-11 x -1588483-13 x -1344101-71 x -246103-143 x -122191-781 x -22373-923 x -18931-1721 x -10153


How do I find the factor combinations of the number 17,473,313?

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 17,473,313, 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 17,473,313
-1 -17,473,313

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 17,473,313.

Example:
1 x 17,473,313 = 17,473,313
and
-1 x -17,473,313 = 17,473,313
Notice both answers equal 17,473,313

With that explanation out of the way, let's continue. Next, we take the number 17,473,313 and divide it by 2:

17,473,313 ÷ 2 = 8,736,656.5

If the quotient is a whole number, then 2 and 8,736,656.5 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 17,473,313
-1 -17,473,313

Now, we try dividing 17,473,313 by 3:

17,473,313 ÷ 3 = 5,824,437.6667

If the quotient is a whole number, then 3 and 5,824,437.6667 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 17,473,313
-1 -17,473,313

Let's try dividing by 4:

17,473,313 ÷ 4 = 4,368,328.25

If the quotient is a whole number, then 4 and 4,368,328.25 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 17,473,313
-1 17,473,313
Keep dividing by the next highest number until you cannot divide anymore.

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

11113711437819231,72110,15318,93122,373122,191246,1031,344,1011,588,48317,473,313
-1-11-13-71-143-781-923-1,721-10,153-18,931-22,373-122,191-246,103-1,344,101-1,588,483-17,473,313

More Examples

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