Q: What are the factor combinations of the number 178,957,235?

 A:
Positive:   1 x 1789572355 x 35791447157 x 1139855277 x 646055785 x 227971823 x 2174451385 x 1292114115 x 43489
Negative: -1 x -178957235-5 x -35791447-157 x -1139855-277 x -646055-785 x -227971-823 x -217445-1385 x -129211-4115 x -43489


How do I find the factor combinations of the number 178,957,235?

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 178,957,235, 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.

1 178,957,235
-1 -178,957,235

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 178,957,235.

Example:
1 x 178,957,235 = 178,957,235
and
-1 x -178,957,235 = 178,957,235
Notice both answers equal 178,957,235

With that explanation out of the way, let's continue. Next, we take the number 178,957,235 and divide it by 2:

178,957,235 ÷ 2 = 89,478,617.5

If the quotient is a whole number, then 2 and 89,478,617.5 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:

1 178,957,235
-1 -178,957,235

Now, we try dividing 178,957,235 by 3:

178,957,235 ÷ 3 = 59,652,411.6667

If the quotient is a whole number, then 3 and 59,652,411.6667 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:

1 178,957,235
-1 -178,957,235

Let's try dividing by 4:

178,957,235 ÷ 4 = 44,739,308.75

If the quotient is a whole number, then 4 and 44,739,308.75 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:

1 178,957,235
-1 178,957,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151572777858231,3854,11543,489129,211217,445227,971646,0551,139,85535,791,447178,957,235
-1-5-157-277-785-823-1,385-4,115-43,489-129,211-217,445-227,971-646,055-1,139,855-35,791,447-178,957,235

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