Q: What are the factor combinations of the number 143,075,275?

 A:
Positive:   1 x 1430752755 x 286150557 x 2043932525 x 572301135 x 4087865175 x 817573457 x 3130751789 x 799752285 x 626153199 x 447258945 x 1599511425 x 12523
Negative: -1 x -143075275-5 x -28615055-7 x -20439325-25 x -5723011-35 x -4087865-175 x -817573-457 x -313075-1789 x -79975-2285 x -62615-3199 x -44725-8945 x -15995-11425 x -12523


How do I find the factor combinations of the number 143,075,275?

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 143,075,275, 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.

1 143,075,275
-1 -143,075,275

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 143,075,275.

Example:
1 x 143,075,275 = 143,075,275
and
-1 x -143,075,275 = 143,075,275
Notice both answers equal 143,075,275

With that explanation out of the way, let's continue. Next, we take the number 143,075,275 and divide it by 2:

143,075,275 ÷ 2 = 71,537,637.5

If the quotient is a whole number, then 2 and 71,537,637.5 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:

1 143,075,275
-1 -143,075,275

Now, we try dividing 143,075,275 by 3:

143,075,275 ÷ 3 = 47,691,758.3333

If the quotient is a whole number, then 3 and 47,691,758.3333 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:

1 143,075,275
-1 -143,075,275

Let's try dividing by 4:

143,075,275 ÷ 4 = 35,768,818.75

If the quotient is a whole number, then 4 and 35,768,818.75 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:

1 143,075,275
-1 143,075,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351754571,7892,2853,1998,94511,42512,52315,99544,72562,61579,975313,075817,5734,087,8655,723,01120,439,32528,615,055143,075,275
-1-5-7-25-35-175-457-1,789-2,285-3,199-8,945-11,425-12,523-15,995-44,725-62,615-79,975-313,075-817,573-4,087,865-5,723,011-20,439,325-28,615,055-143,075,275

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