Q: What are the factor combinations of the number 874,786,175?

 A:
Positive:   1 x 8747861755 x 17495723525 x 349914471619 x 5403258095 x 10806521613 x 40475
Negative: -1 x -874786175-5 x -174957235-25 x -34991447-1619 x -540325-8095 x -108065-21613 x -40475


How do I find the factor combinations of the number 874,786,175?

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 874,786,175, 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.

1 874,786,175
-1 -874,786,175

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 874,786,175.

Example:
1 x 874,786,175 = 874,786,175
and
-1 x -874,786,175 = 874,786,175
Notice both answers equal 874,786,175

With that explanation out of the way, let's continue. Next, we take the number 874,786,175 and divide it by 2:

874,786,175 ÷ 2 = 437,393,087.5

If the quotient is a whole number, then 2 and 437,393,087.5 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:

1 874,786,175
-1 -874,786,175

Now, we try dividing 874,786,175 by 3:

874,786,175 ÷ 3 = 291,595,391.6667

If the quotient is a whole number, then 3 and 291,595,391.6667 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:

1 874,786,175
-1 -874,786,175

Let's try dividing by 4:

874,786,175 ÷ 4 = 218,696,543.75

If the quotient is a whole number, then 4 and 218,696,543.75 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:

1 874,786,175
-1 874,786,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15251,6198,09521,61340,475108,065540,32534,991,447174,957,235874,786,175
-1-5-25-1,619-8,095-21,613-40,475-108,065-540,325-34,991,447-174,957,235-874,786,175

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