Q: What are the factor combinations of the number 202,477,421?

 A:
Positive:   1 x 20247742183 x 2439487
Negative: -1 x -202477421-83 x -2439487


How do I find the factor combinations of the number 202,477,421?

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 202,477,421, 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.

1 202,477,421
-1 -202,477,421

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 202,477,421.

Example:
1 x 202,477,421 = 202,477,421
and
-1 x -202,477,421 = 202,477,421
Notice both answers equal 202,477,421

With that explanation out of the way, let's continue. Next, we take the number 202,477,421 and divide it by 2:

202,477,421 ÷ 2 = 101,238,710.5

If the quotient is a whole number, then 2 and 101,238,710.5 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:

1 202,477,421
-1 -202,477,421

Now, we try dividing 202,477,421 by 3:

202,477,421 ÷ 3 = 67,492,473.6667

If the quotient is a whole number, then 3 and 67,492,473.6667 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:

1 202,477,421
-1 -202,477,421

Let's try dividing by 4:

202,477,421 ÷ 4 = 50,619,355.25

If the quotient is a whole number, then 4 and 50,619,355.25 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:

1 202,477,421
-1 202,477,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1832,439,487202,477,421
-1-83-2,439,487-202,477,421

More Examples

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