Q: What are the factor combinations of the number 202,152,349?

 A:
Positive:   1 x 2021523497 x 2887890737 x 546357759 x 3426311259 x 780511413 x 4894732183 x 9260313229 x 15281
Negative: -1 x -202152349-7 x -28878907-37 x -5463577-59 x -3426311-259 x -780511-413 x -489473-2183 x -92603-13229 x -15281


How do I find the factor combinations of the number 202,152,349?

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 202,152,349, 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.

1 202,152,349
-1 -202,152,349

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 202,152,349.

Example:
1 x 202,152,349 = 202,152,349
and
-1 x -202,152,349 = 202,152,349
Notice both answers equal 202,152,349

With that explanation out of the way, let's continue. Next, we take the number 202,152,349 and divide it by 2:

202,152,349 ÷ 2 = 101,076,174.5

If the quotient is a whole number, then 2 and 101,076,174.5 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:

1 202,152,349
-1 -202,152,349

Now, we try dividing 202,152,349 by 3:

202,152,349 ÷ 3 = 67,384,116.3333

If the quotient is a whole number, then 3 and 67,384,116.3333 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:

1 202,152,349
-1 -202,152,349

Let's try dividing by 4:

202,152,349 ÷ 4 = 50,538,087.25

If the quotient is a whole number, then 4 and 50,538,087.25 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:

1 202,152,349
-1 202,152,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1737592594132,18313,22915,28192,603489,473780,5113,426,3115,463,57728,878,907202,152,349
-1-7-37-59-259-413-2,183-13,229-15,281-92,603-489,473-780,511-3,426,311-5,463,577-28,878,907-202,152,349

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