Q: What are the factor combinations of the number 17,741,717?

 A:
Positive:   1 x 177417177 x 253453123 x 771379161 x 110197263 x 67459419 x 423431841 x 96372933 x 6049
Negative: -1 x -17741717-7 x -2534531-23 x -771379-161 x -110197-263 x -67459-419 x -42343-1841 x -9637-2933 x -6049


How do I find the factor combinations of the number 17,741,717?

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 17,741,717, 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 17,741,717
-1 -17,741,717

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 17,741,717.

Example:
1 x 17,741,717 = 17,741,717
and
-1 x -17,741,717 = 17,741,717
Notice both answers equal 17,741,717

With that explanation out of the way, let's continue. Next, we take the number 17,741,717 and divide it by 2:

17,741,717 ÷ 2 = 8,870,858.5

If the quotient is a whole number, then 2 and 8,870,858.5 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 17,741,717
-1 -17,741,717

Now, we try dividing 17,741,717 by 3:

17,741,717 ÷ 3 = 5,913,905.6667

If the quotient is a whole number, then 3 and 5,913,905.6667 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 17,741,717
-1 -17,741,717

Let's try dividing by 4:

17,741,717 ÷ 4 = 4,435,429.25

If the quotient is a whole number, then 4 and 4,435,429.25 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 17,741,717
-1 17,741,717
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612634191,8412,9336,0499,63742,34367,459110,197771,3792,534,53117,741,717
-1-7-23-161-263-419-1,841-2,933-6,049-9,637-42,343-67,459-110,197-771,379-2,534,531-17,741,717

More Examples

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