Q: What are the factor combinations of the number 402,000,203?

 A:
Positive:   1 x 40200020311 x 3654547341 x 9804883151 x 2662253451 x 8913531661 x 2420235903 x 681016191 x 64933
Negative: -1 x -402000203-11 x -36545473-41 x -9804883-151 x -2662253-451 x -891353-1661 x -242023-5903 x -68101-6191 x -64933


How do I find the factor combinations of the number 402,000,203?

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 402,000,203, 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.

1 402,000,203
-1 -402,000,203

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 402,000,203.

Example:
1 x 402,000,203 = 402,000,203
and
-1 x -402,000,203 = 402,000,203
Notice both answers equal 402,000,203

With that explanation out of the way, let's continue. Next, we take the number 402,000,203 and divide it by 2:

402,000,203 ÷ 2 = 201,000,101.5

If the quotient is a whole number, then 2 and 201,000,101.5 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:

1 402,000,203
-1 -402,000,203

Now, we try dividing 402,000,203 by 3:

402,000,203 ÷ 3 = 134,000,067.6667

If the quotient is a whole number, then 3 and 134,000,067.6667 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:

1 402,000,203
-1 -402,000,203

Let's try dividing by 4:

402,000,203 ÷ 4 = 100,500,050.75

If the quotient is a whole number, then 4 and 100,500,050.75 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:

1 402,000,203
-1 402,000,203
Keep dividing by the next highest number until you cannot divide anymore.

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

111411514511,6615,9036,19164,93368,101242,023891,3532,662,2539,804,88336,545,473402,000,203
-1-11-41-151-451-1,661-5,903-6,191-64,933-68,101-242,023-891,353-2,662,253-9,804,883-36,545,473-402,000,203

More Examples

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