Q: What are the factor combinations of the number 143,311,025?

 A:
Positive:   1 x 1433110255 x 2866220511 x 1302827513 x 1102392525 x 573244155 x 260565565 x 2204785143 x 1002175275 x 521131325 x 440957715 x 2004353575 x 40087
Negative: -1 x -143311025-5 x -28662205-11 x -13028275-13 x -11023925-25 x -5732441-55 x -2605655-65 x -2204785-143 x -1002175-275 x -521131-325 x -440957-715 x -200435-3575 x -40087


How do I find the factor combinations of the number 143,311,025?

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 143,311,025, 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.

1 143,311,025
-1 -143,311,025

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 143,311,025.

Example:
1 x 143,311,025 = 143,311,025
and
-1 x -143,311,025 = 143,311,025
Notice both answers equal 143,311,025

With that explanation out of the way, let's continue. Next, we take the number 143,311,025 and divide it by 2:

143,311,025 ÷ 2 = 71,655,512.5

If the quotient is a whole number, then 2 and 71,655,512.5 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:

1 143,311,025
-1 -143,311,025

Now, we try dividing 143,311,025 by 3:

143,311,025 ÷ 3 = 47,770,341.6667

If the quotient is a whole number, then 3 and 47,770,341.6667 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:

1 143,311,025
-1 -143,311,025

Let's try dividing by 4:

143,311,025 ÷ 4 = 35,827,756.25

If the quotient is a whole number, then 4 and 35,827,756.25 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:

1 143,311,025
-1 143,311,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57540,087200,435440,957521,1311,002,1752,204,7852,605,6555,732,44111,023,92513,028,27528,662,205143,311,025
-1-5-11-13-25-55-65-143-275-325-715-3,575-40,087-200,435-440,957-521,131-1,002,175-2,204,785-2,605,655-5,732,441-11,023,925-13,028,275-28,662,205-143,311,025

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