Q: What are the factor combinations of the number 17,384,731?

 A:
Positive:   1 x 173847317 x 248353313 x 133728773 x 23814791 x 191041511 x 34021949 x 183192617 x 6643
Negative: -1 x -17384731-7 x -2483533-13 x -1337287-73 x -238147-91 x -191041-511 x -34021-949 x -18319-2617 x -6643


How do I find the factor combinations of the number 17,384,731?

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 17,384,731, 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 17,384,731
-1 -17,384,731

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 17,384,731.

Example:
1 x 17,384,731 = 17,384,731
and
-1 x -17,384,731 = 17,384,731
Notice both answers equal 17,384,731

With that explanation out of the way, let's continue. Next, we take the number 17,384,731 and divide it by 2:

17,384,731 ÷ 2 = 8,692,365.5

If the quotient is a whole number, then 2 and 8,692,365.5 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 17,384,731
-1 -17,384,731

Now, we try dividing 17,384,731 by 3:

17,384,731 ÷ 3 = 5,794,910.3333

If the quotient is a whole number, then 3 and 5,794,910.3333 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 17,384,731
-1 -17,384,731

Let's try dividing by 4:

17,384,731 ÷ 4 = 4,346,182.75

If the quotient is a whole number, then 4 and 4,346,182.75 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 17,384,731
-1 17,384,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171373915119492,6176,64318,31934,021191,041238,1471,337,2872,483,53317,384,731
-1-7-13-73-91-511-949-2,617-6,643-18,319-34,021-191,041-238,147-1,337,287-2,483,533-17,384,731

More Examples

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