Q: What are the factor combinations of the number 200,565,475?

 A:
Positive:   1 x 2005654755 x 4011309511 x 1823322525 x 802261955 x 3646645275 x 729329
Negative: -1 x -200565475-5 x -40113095-11 x -18233225-25 x -8022619-55 x -3646645-275 x -729329


How do I find the factor combinations of the number 200,565,475?

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 200,565,475, 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.

1 200,565,475
-1 -200,565,475

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 200,565,475.

Example:
1 x 200,565,475 = 200,565,475
and
-1 x -200,565,475 = 200,565,475
Notice both answers equal 200,565,475

With that explanation out of the way, let's continue. Next, we take the number 200,565,475 and divide it by 2:

200,565,475 ÷ 2 = 100,282,737.5

If the quotient is a whole number, then 2 and 100,282,737.5 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:

1 200,565,475
-1 -200,565,475

Now, we try dividing 200,565,475 by 3:

200,565,475 ÷ 3 = 66,855,158.3333

If the quotient is a whole number, then 3 and 66,855,158.3333 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:

1 200,565,475
-1 -200,565,475

Let's try dividing by 4:

200,565,475 ÷ 4 = 50,141,368.75

If the quotient is a whole number, then 4 and 50,141,368.75 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:

1 200,565,475
-1 200,565,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555275729,3293,646,6458,022,61918,233,22540,113,095200,565,475
-1-5-11-25-55-275-729,329-3,646,645-8,022,619-18,233,225-40,113,095-200,565,475

More Examples

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