Q: What are the factor combinations of the number 17,053,421?

 A:
Positive:   1 x 170534217 x 243620311 x 155031129 x 58804949 x 34802977 x 221473203 x 84007319 x 53459539 x 316391091 x 156311421 x 120012233 x 7637
Negative: -1 x -17053421-7 x -2436203-11 x -1550311-29 x -588049-49 x -348029-77 x -221473-203 x -84007-319 x -53459-539 x -31639-1091 x -15631-1421 x -12001-2233 x -7637


How do I find the factor combinations of the number 17,053,421?

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 17,053,421, 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 17,053,421
-1 -17,053,421

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 17,053,421.

Example:
1 x 17,053,421 = 17,053,421
and
-1 x -17,053,421 = 17,053,421
Notice both answers equal 17,053,421

With that explanation out of the way, let's continue. Next, we take the number 17,053,421 and divide it by 2:

17,053,421 ÷ 2 = 8,526,710.5

If the quotient is a whole number, then 2 and 8,526,710.5 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 17,053,421
-1 -17,053,421

Now, we try dividing 17,053,421 by 3:

17,053,421 ÷ 3 = 5,684,473.6667

If the quotient is a whole number, then 3 and 5,684,473.6667 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 17,053,421
-1 -17,053,421

Let's try dividing by 4:

17,053,421 ÷ 4 = 4,263,355.25

If the quotient is a whole number, then 4 and 4,263,355.25 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 17,053,421
-1 17,053,421
Keep dividing by the next highest number until you cannot divide anymore.

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

17112949772033195391,0911,4212,2337,63712,00115,63131,63953,45984,007221,473348,029588,0491,550,3112,436,20317,053,421
-1-7-11-29-49-77-203-319-539-1,091-1,421-2,233-7,637-12,001-15,631-31,639-53,459-84,007-221,473-348,029-588,049-1,550,311-2,436,203-17,053,421

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