Q: What are the factor combinations of the number 310,247,075?

 A:
Positive:   1 x 3102470755 x 6204941525 x 1240988329 x 1069817559 x 5258425145 x 2139635295 x 1051685725 x 4279271475 x 2103371711 x 1813257253 x 427758555 x 36265
Negative: -1 x -310247075-5 x -62049415-25 x -12409883-29 x -10698175-59 x -5258425-145 x -2139635-295 x -1051685-725 x -427927-1475 x -210337-1711 x -181325-7253 x -42775-8555 x -36265


How do I find the factor combinations of the number 310,247,075?

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 310,247,075, 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.

1 310,247,075
-1 -310,247,075

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 310,247,075.

Example:
1 x 310,247,075 = 310,247,075
and
-1 x -310,247,075 = 310,247,075
Notice both answers equal 310,247,075

With that explanation out of the way, let's continue. Next, we take the number 310,247,075 and divide it by 2:

310,247,075 ÷ 2 = 155,123,537.5

If the quotient is a whole number, then 2 and 155,123,537.5 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:

1 310,247,075
-1 -310,247,075

Now, we try dividing 310,247,075 by 3:

310,247,075 ÷ 3 = 103,415,691.6667

If the quotient is a whole number, then 3 and 103,415,691.6667 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:

1 310,247,075
-1 -310,247,075

Let's try dividing by 4:

310,247,075 ÷ 4 = 77,561,768.75

If the quotient is a whole number, then 4 and 77,561,768.75 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:

1 310,247,075
-1 310,247,075
Keep dividing by the next highest number until you cannot divide anymore.

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

152529591452957251,4751,7117,2538,55536,26542,775181,325210,337427,9271,051,6852,139,6355,258,42510,698,17512,409,88362,049,415310,247,075
-1-5-25-29-59-145-295-725-1,475-1,711-7,253-8,555-36,265-42,775-181,325-210,337-427,927-1,051,685-2,139,635-5,258,425-10,698,175-12,409,883-62,049,415-310,247,075

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