Q: What are the factor combinations of the number 1,404,235?

 A:
Positive:   1 x 14042355 x 2808477 x 20060535 x 4012153 x 26495265 x 5299371 x 3785757 x 1855
Negative: -1 x -1404235-5 x -280847-7 x -200605-35 x -40121-53 x -26495-265 x -5299-371 x -3785-757 x -1855


How do I find the factor combinations of the number 1,404,235?

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 1,404,235, 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 1,404,235
-1 -1,404,235

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 1,404,235.

Example:
1 x 1,404,235 = 1,404,235
and
-1 x -1,404,235 = 1,404,235
Notice both answers equal 1,404,235

With that explanation out of the way, let's continue. Next, we take the number 1,404,235 and divide it by 2:

1,404,235 ÷ 2 = 702,117.5

If the quotient is a whole number, then 2 and 702,117.5 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 1,404,235
-1 -1,404,235

Now, we try dividing 1,404,235 by 3:

1,404,235 ÷ 3 = 468,078.3333

If the quotient is a whole number, then 3 and 468,078.3333 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 1,404,235
-1 -1,404,235

Let's try dividing by 4:

1,404,235 ÷ 4 = 351,058.75

If the quotient is a whole number, then 4 and 351,058.75 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 1,404,235
-1 1,404,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653717571,8553,7855,29926,49540,121200,605280,8471,404,235
-1-5-7-35-53-265-371-757-1,855-3,785-5,299-26,495-40,121-200,605-280,847-1,404,235

More Examples

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