Q: What are the factor combinations of the number 177,371,537?

 A:
Positive:   1 x 1773715377 x 25338791149 x 1190413173 x 1025269983 x 1804391043 x 1700591211 x 1464676881 x 25777
Negative: -1 x -177371537-7 x -25338791-149 x -1190413-173 x -1025269-983 x -180439-1043 x -170059-1211 x -146467-6881 x -25777


How do I find the factor combinations of the number 177,371,537?

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 177,371,537, 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.

1 177,371,537
-1 -177,371,537

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 177,371,537.

Example:
1 x 177,371,537 = 177,371,537
and
-1 x -177,371,537 = 177,371,537
Notice both answers equal 177,371,537

With that explanation out of the way, let's continue. Next, we take the number 177,371,537 and divide it by 2:

177,371,537 ÷ 2 = 88,685,768.5

If the quotient is a whole number, then 2 and 88,685,768.5 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:

1 177,371,537
-1 -177,371,537

Now, we try dividing 177,371,537 by 3:

177,371,537 ÷ 3 = 59,123,845.6667

If the quotient is a whole number, then 3 and 59,123,845.6667 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:

1 177,371,537
-1 -177,371,537

Let's try dividing by 4:

177,371,537 ÷ 4 = 44,342,884.25

If the quotient is a whole number, then 4 and 44,342,884.25 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:

1 177,371,537
-1 177,371,537
Keep dividing by the next highest number until you cannot divide anymore.

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

171491739831,0431,2116,88125,777146,467170,059180,4391,025,2691,190,41325,338,791177,371,537
-1-7-149-173-983-1,043-1,211-6,881-25,777-146,467-170,059-180,439-1,025,269-1,190,413-25,338,791-177,371,537

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