Q: What are the factor combinations of the number 143,125,435?

 A:
Positive:   1 x 1431254355 x 2862508723 x 622284537 x 3868255115 x 1244569185 x 773651851 x 1681854255 x 33637
Negative: -1 x -143125435-5 x -28625087-23 x -6222845-37 x -3868255-115 x -1244569-185 x -773651-851 x -168185-4255 x -33637


How do I find the factor combinations of the number 143,125,435?

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 143,125,435, 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.

1 143,125,435
-1 -143,125,435

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 143,125,435.

Example:
1 x 143,125,435 = 143,125,435
and
-1 x -143,125,435 = 143,125,435
Notice both answers equal 143,125,435

With that explanation out of the way, let's continue. Next, we take the number 143,125,435 and divide it by 2:

143,125,435 ÷ 2 = 71,562,717.5

If the quotient is a whole number, then 2 and 71,562,717.5 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:

1 143,125,435
-1 -143,125,435

Now, we try dividing 143,125,435 by 3:

143,125,435 ÷ 3 = 47,708,478.3333

If the quotient is a whole number, then 3 and 47,708,478.3333 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:

1 143,125,435
-1 -143,125,435

Let's try dividing by 4:

143,125,435 ÷ 4 = 35,781,358.75

If the quotient is a whole number, then 4 and 35,781,358.75 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:

1 143,125,435
-1 143,125,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,25533,637168,185773,6511,244,5693,868,2556,222,84528,625,087143,125,435
-1-5-23-37-115-185-851-4,255-33,637-168,185-773,651-1,244,569-3,868,255-6,222,845-28,625,087-143,125,435

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