Q: What are the factor combinations of the number 14,004,235?

 A:
Positive:   1 x 140042355 x 28008477 x 200060519 x 73706535 x 40012195 x 147413133 x 105295665 x 21059
Negative: -1 x -14004235-5 x -2800847-7 x -2000605-19 x -737065-35 x -400121-95 x -147413-133 x -105295-665 x -21059


How do I find the factor combinations of the number 14,004,235?

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 14,004,235, 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 14,004,235
-1 -14,004,235

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 14,004,235.

Example:
1 x 14,004,235 = 14,004,235
and
-1 x -14,004,235 = 14,004,235
Notice both answers equal 14,004,235

With that explanation out of the way, let's continue. Next, we take the number 14,004,235 and divide it by 2:

14,004,235 ÷ 2 = 7,002,117.5

If the quotient is a whole number, then 2 and 7,002,117.5 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 14,004,235
-1 -14,004,235

Now, we try dividing 14,004,235 by 3:

14,004,235 ÷ 3 = 4,668,078.3333

If the quotient is a whole number, then 3 and 4,668,078.3333 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 14,004,235
-1 -14,004,235

Let's try dividing by 4:

14,004,235 ÷ 4 = 3,501,058.75

If the quotient is a whole number, then 4 and 3,501,058.75 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 14,004,235
-1 14,004,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366521,059105,295147,413400,121737,0652,000,6052,800,84714,004,235
-1-5-7-19-35-95-133-665-21,059-105,295-147,413-400,121-737,065-2,000,605-2,800,847-14,004,235

More Examples

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