Q: What are the factor combinations of the number 14,065,429?

 A:
Positive:   1 x 140654297 x 200934743 x 32710383 x 169463301 x 46729563 x 24983581 x 242093569 x 3941
Negative: -1 x -14065429-7 x -2009347-43 x -327103-83 x -169463-301 x -46729-563 x -24983-581 x -24209-3569 x -3941


How do I find the factor combinations of the number 14,065,429?

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 14,065,429, 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 14,065,429
-1 -14,065,429

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 14,065,429.

Example:
1 x 14,065,429 = 14,065,429
and
-1 x -14,065,429 = 14,065,429
Notice both answers equal 14,065,429

With that explanation out of the way, let's continue. Next, we take the number 14,065,429 and divide it by 2:

14,065,429 ÷ 2 = 7,032,714.5

If the quotient is a whole number, then 2 and 7,032,714.5 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 14,065,429
-1 -14,065,429

Now, we try dividing 14,065,429 by 3:

14,065,429 ÷ 3 = 4,688,476.3333

If the quotient is a whole number, then 3 and 4,688,476.3333 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 14,065,429
-1 -14,065,429

Let's try dividing by 4:

14,065,429 ÷ 4 = 3,516,357.25

If the quotient is a whole number, then 4 and 3,516,357.25 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 14,065,429
-1 14,065,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1743833015635813,5693,94124,20924,98346,729169,463327,1032,009,34714,065,429
-1-7-43-83-301-563-581-3,569-3,941-24,209-24,983-46,729-169,463-327,103-2,009,347-14,065,429

More Examples

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