Q: What are the factor combinations of the number 202,152,353?

 A:
Positive:   1 x 20215235313 x 1555018161 x 3313973227 x 890539793 x 2549211123 x 1800112951 x 6850313847 x 14599
Negative: -1 x -202152353-13 x -15550181-61 x -3313973-227 x -890539-793 x -254921-1123 x -180011-2951 x -68503-13847 x -14599


How do I find the factor combinations of the number 202,152,353?

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 202,152,353, 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.

1 202,152,353
-1 -202,152,353

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 202,152,353.

Example:
1 x 202,152,353 = 202,152,353
and
-1 x -202,152,353 = 202,152,353
Notice both answers equal 202,152,353

With that explanation out of the way, let's continue. Next, we take the number 202,152,353 and divide it by 2:

202,152,353 ÷ 2 = 101,076,176.5

If the quotient is a whole number, then 2 and 101,076,176.5 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:

1 202,152,353
-1 -202,152,353

Now, we try dividing 202,152,353 by 3:

202,152,353 ÷ 3 = 67,384,117.6667

If the quotient is a whole number, then 3 and 67,384,117.6667 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:

1 202,152,353
-1 -202,152,353

Let's try dividing by 4:

202,152,353 ÷ 4 = 50,538,088.25

If the quotient is a whole number, then 4 and 50,538,088.25 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:

1 202,152,353
-1 202,152,353
Keep dividing by the next highest number until you cannot divide anymore.

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

113612277931,1232,95113,84714,59968,503180,011254,921890,5393,313,97315,550,181202,152,353
-1-13-61-227-793-1,123-2,951-13,847-14,599-68,503-180,011-254,921-890,539-3,313,973-15,550,181-202,152,353

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