Q: What are the factor combinations of the number 200,524,345?

 A:
Positive:   1 x 2005243455 x 401048697 x 2864633535 x 57292671031 x 1944955155 x 388995557 x 360857217 x 27785
Negative: -1 x -200524345-5 x -40104869-7 x -28646335-35 x -5729267-1031 x -194495-5155 x -38899-5557 x -36085-7217 x -27785


How do I find the factor combinations of the number 200,524,345?

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 200,524,345, 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.

1 200,524,345
-1 -200,524,345

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 200,524,345.

Example:
1 x 200,524,345 = 200,524,345
and
-1 x -200,524,345 = 200,524,345
Notice both answers equal 200,524,345

With that explanation out of the way, let's continue. Next, we take the number 200,524,345 and divide it by 2:

200,524,345 ÷ 2 = 100,262,172.5

If the quotient is a whole number, then 2 and 100,262,172.5 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:

1 200,524,345
-1 -200,524,345

Now, we try dividing 200,524,345 by 3:

200,524,345 ÷ 3 = 66,841,448.3333

If the quotient is a whole number, then 3 and 66,841,448.3333 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:

1 200,524,345
-1 -200,524,345

Let's try dividing by 4:

200,524,345 ÷ 4 = 50,131,086.25

If the quotient is a whole number, then 4 and 50,131,086.25 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:

1 200,524,345
-1 200,524,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0315,1555,5577,21727,78536,08538,899194,4955,729,26728,646,33540,104,869200,524,345
-1-5-7-35-1,031-5,155-5,557-7,217-27,785-36,085-38,899-194,495-5,729,267-28,646,335-40,104,869-200,524,345

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