Q: What are the factor combinations of the number 202,053,565?

 A:
Positive:   1 x 2020535655 x 404107137 x 2886479535 x 5772959383 x 5275551915 x 1055112681 x 7536513405 x 15073
Negative: -1 x -202053565-5 x -40410713-7 x -28864795-35 x -5772959-383 x -527555-1915 x -105511-2681 x -75365-13405 x -15073


How do I find the factor combinations of the number 202,053,565?

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 202,053,565, 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.

1 202,053,565
-1 -202,053,565

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 202,053,565.

Example:
1 x 202,053,565 = 202,053,565
and
-1 x -202,053,565 = 202,053,565
Notice both answers equal 202,053,565

With that explanation out of the way, let's continue. Next, we take the number 202,053,565 and divide it by 2:

202,053,565 ÷ 2 = 101,026,782.5

If the quotient is a whole number, then 2 and 101,026,782.5 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:

1 202,053,565
-1 -202,053,565

Now, we try dividing 202,053,565 by 3:

202,053,565 ÷ 3 = 67,351,188.3333

If the quotient is a whole number, then 3 and 67,351,188.3333 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:

1 202,053,565
-1 -202,053,565

Let's try dividing by 4:

202,053,565 ÷ 4 = 50,513,391.25

If the quotient is a whole number, then 4 and 50,513,391.25 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:

1 202,053,565
-1 202,053,565
Keep dividing by the next highest number until you cannot divide anymore.

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

157353831,9152,68113,40515,07375,365105,511527,5555,772,95928,864,79540,410,713202,053,565
-1-5-7-35-383-1,915-2,681-13,405-15,073-75,365-105,511-527,555-5,772,959-28,864,795-40,410,713-202,053,565

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