Q: What are the factor combinations of the number 200,424,001?

 A:
Positive:   1 x 20042400123 x 871408767 x 299140383 x 24147471541 x 1300611567 x 1279031909 x 1049895561 x 36041
Negative: -1 x -200424001-23 x -8714087-67 x -2991403-83 x -2414747-1541 x -130061-1567 x -127903-1909 x -104989-5561 x -36041


How do I find the factor combinations of the number 200,424,001?

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 200,424,001, 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.

1 200,424,001
-1 -200,424,001

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 200,424,001.

Example:
1 x 200,424,001 = 200,424,001
and
-1 x -200,424,001 = 200,424,001
Notice both answers equal 200,424,001

With that explanation out of the way, let's continue. Next, we take the number 200,424,001 and divide it by 2:

200,424,001 ÷ 2 = 100,212,000.5

If the quotient is a whole number, then 2 and 100,212,000.5 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:

1 200,424,001
-1 -200,424,001

Now, we try dividing 200,424,001 by 3:

200,424,001 ÷ 3 = 66,808,000.3333

If the quotient is a whole number, then 3 and 66,808,000.3333 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:

1 200,424,001
-1 -200,424,001

Let's try dividing by 4:

200,424,001 ÷ 4 = 50,106,000.25

If the quotient is a whole number, then 4 and 50,106,000.25 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:

1 200,424,001
-1 200,424,001
Keep dividing by the next highest number until you cannot divide anymore.

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

12367831,5411,5671,9095,56136,041104,989127,903130,0612,414,7472,991,4038,714,087200,424,001
-1-23-67-83-1,541-1,567-1,909-5,561-36,041-104,989-127,903-130,061-2,414,747-2,991,403-8,714,087-200,424,001

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