Q: What are the factor combinations of the number 1,698,235?

 A:
Positive:   1 x 16982355 x 3396477 x 24260511 x 15438535 x 4852155 x 3087777 x 22055121 x 14035385 x 4411401 x 4235605 x 2807847 x 2005
Negative: -1 x -1698235-5 x -339647-7 x -242605-11 x -154385-35 x -48521-55 x -30877-77 x -22055-121 x -14035-385 x -4411-401 x -4235-605 x -2807-847 x -2005


How do I find the factor combinations of the number 1,698,235?

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 1,698,235, 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 1,698,235
-1 -1,698,235

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 1,698,235.

Example:
1 x 1,698,235 = 1,698,235
and
-1 x -1,698,235 = 1,698,235
Notice both answers equal 1,698,235

With that explanation out of the way, let's continue. Next, we take the number 1,698,235 and divide it by 2:

1,698,235 ÷ 2 = 849,117.5

If the quotient is a whole number, then 2 and 849,117.5 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 1,698,235
-1 -1,698,235

Now, we try dividing 1,698,235 by 3:

1,698,235 ÷ 3 = 566,078.3333

If the quotient is a whole number, then 3 and 566,078.3333 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 1,698,235
-1 -1,698,235

Let's try dividing by 4:

1,698,235 ÷ 4 = 424,558.75

If the quotient is a whole number, then 4 and 424,558.75 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 1,698,235
-1 1,698,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213854016058472,0052,8074,2354,41114,03522,05530,87748,521154,385242,605339,6471,698,235
-1-5-7-11-35-55-77-121-385-401-605-847-2,005-2,807-4,235-4,411-14,035-22,055-30,877-48,521-154,385-242,605-339,647-1,698,235

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