Q: What are the factor combinations of the number 17,384,407?

 A:
Positive:   1 x 1738440747 x 369881283 x 614291307 x 13301
Negative: -1 x -17384407-47 x -369881-283 x -61429-1307 x -13301


How do I find the factor combinations of the number 17,384,407?

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 17,384,407, 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 17,384,407
-1 -17,384,407

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 17,384,407.

Example:
1 x 17,384,407 = 17,384,407
and
-1 x -17,384,407 = 17,384,407
Notice both answers equal 17,384,407

With that explanation out of the way, let's continue. Next, we take the number 17,384,407 and divide it by 2:

17,384,407 ÷ 2 = 8,692,203.5

If the quotient is a whole number, then 2 and 8,692,203.5 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 17,384,407
-1 -17,384,407

Now, we try dividing 17,384,407 by 3:

17,384,407 ÷ 3 = 5,794,802.3333

If the quotient is a whole number, then 3 and 5,794,802.3333 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 17,384,407
-1 -17,384,407

Let's try dividing by 4:

17,384,407 ÷ 4 = 4,346,101.75

If the quotient is a whole number, then 4 and 4,346,101.75 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 17,384,407
-1 17,384,407
Keep dividing by the next highest number until you cannot divide anymore.

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

1472831,30713,30161,429369,88117,384,407
-1-47-283-1,307-13,301-61,429-369,881-17,384,407

More Examples

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