Q: What are the factor combinations of the number 37,180,055?

 A:
Positive:   1 x 371800555 x 743601111 x 338000519 x 195684547 x 79106555 x 67600195 x 391369209 x 177895235 x 158213517 x 71915757 x 49115893 x 416351045 x 355792585 x 143833785 x 98234465 x 8327
Negative: -1 x -37180055-5 x -7436011-11 x -3380005-19 x -1956845-47 x -791065-55 x -676001-95 x -391369-209 x -177895-235 x -158213-517 x -71915-757 x -49115-893 x -41635-1045 x -35579-2585 x -14383-3785 x -9823-4465 x -8327


How do I find the factor combinations of the number 37,180,055?

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 37,180,055, 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 37,180,055
-1 -37,180,055

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 37,180,055.

Example:
1 x 37,180,055 = 37,180,055
and
-1 x -37,180,055 = 37,180,055
Notice both answers equal 37,180,055

With that explanation out of the way, let's continue. Next, we take the number 37,180,055 and divide it by 2:

37,180,055 ÷ 2 = 18,590,027.5

If the quotient is a whole number, then 2 and 18,590,027.5 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 37,180,055
-1 -37,180,055

Now, we try dividing 37,180,055 by 3:

37,180,055 ÷ 3 = 12,393,351.6667

If the quotient is a whole number, then 3 and 12,393,351.6667 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 37,180,055
-1 -37,180,055

Let's try dividing by 4:

37,180,055 ÷ 4 = 9,295,013.75

If the quotient is a whole number, then 4 and 9,295,013.75 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 37,180,055
-1 37,180,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511194755952092355177578931,0452,5853,7854,4658,3279,82314,38335,57941,63549,11571,915158,213177,895391,369676,001791,0651,956,8453,380,0057,436,01137,180,055
-1-5-11-19-47-55-95-209-235-517-757-893-1,045-2,585-3,785-4,465-8,327-9,823-14,383-35,579-41,635-49,115-71,915-158,213-177,895-391,369-676,001-791,065-1,956,845-3,380,005-7,436,011-37,180,055

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