Q: What are the factor combinations of the number 2,002,429?

 A:
Positive:   1 x 200242911 x 18203913 x 15403319 x 10539167 x 29887121 x 16549143 x 14003209 x 9581247 x 8107737 x 2717871 x 22991273 x 1573
Negative: -1 x -2002429-11 x -182039-13 x -154033-19 x -105391-67 x -29887-121 x -16549-143 x -14003-209 x -9581-247 x -8107-737 x -2717-871 x -2299-1273 x -1573


How do I find the factor combinations of the number 2,002,429?

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 2,002,429, 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 2,002,429
-1 -2,002,429

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 2,002,429.

Example:
1 x 2,002,429 = 2,002,429
and
-1 x -2,002,429 = 2,002,429
Notice both answers equal 2,002,429

With that explanation out of the way, let's continue. Next, we take the number 2,002,429 and divide it by 2:

2,002,429 ÷ 2 = 1,001,214.5

If the quotient is a whole number, then 2 and 1,001,214.5 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 2,002,429
-1 -2,002,429

Now, we try dividing 2,002,429 by 3:

2,002,429 ÷ 3 = 667,476.3333

If the quotient is a whole number, then 3 and 667,476.3333 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 2,002,429
-1 -2,002,429

Let's try dividing by 4:

2,002,429 ÷ 4 = 500,607.25

If the quotient is a whole number, then 4 and 500,607.25 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 2,002,429
-1 2,002,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1111319671211432092477378711,2731,5732,2992,7178,1079,58114,00316,54929,887105,391154,033182,0392,002,429
-1-11-13-19-67-121-143-209-247-737-871-1,273-1,573-2,299-2,717-8,107-9,581-14,003-16,549-29,887-105,391-154,033-182,039-2,002,429

More Examples

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