Q: What are the factor combinations of the number 750,182,171?

 A:
Positive:   1 x 75018217117 x 4412836343 x 17446097641 x 1170331731 x 10262411601 x 46857110897 x 6884327217 x 27563
Negative: -1 x -750182171-17 x -44128363-43 x -17446097-641 x -1170331-731 x -1026241-1601 x -468571-10897 x -68843-27217 x -27563


How do I find the factor combinations of the number 750,182,171?

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 750,182,171, 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.

1 750,182,171
-1 -750,182,171

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 750,182,171.

Example:
1 x 750,182,171 = 750,182,171
and
-1 x -750,182,171 = 750,182,171
Notice both answers equal 750,182,171

With that explanation out of the way, let's continue. Next, we take the number 750,182,171 and divide it by 2:

750,182,171 ÷ 2 = 375,091,085.5

If the quotient is a whole number, then 2 and 375,091,085.5 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:

1 750,182,171
-1 -750,182,171

Now, we try dividing 750,182,171 by 3:

750,182,171 ÷ 3 = 250,060,723.6667

If the quotient is a whole number, then 3 and 250,060,723.6667 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:

1 750,182,171
-1 -750,182,171

Let's try dividing by 4:

750,182,171 ÷ 4 = 187,545,542.75

If the quotient is a whole number, then 4 and 187,545,542.75 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:

1 750,182,171
-1 750,182,171
Keep dividing by the next highest number until you cannot divide anymore.

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

117436417311,60110,89727,21727,56368,843468,5711,026,2411,170,33117,446,09744,128,363750,182,171
-1-17-43-641-731-1,601-10,897-27,217-27,563-68,843-468,571-1,026,241-1,170,331-17,446,097-44,128,363-750,182,171

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