Q: What are the factor combinations of the number 143,743,379?

 A:
Positive:   1 x 14374337913 x 1105718319 x 7565441247 x 581957521 x 2758991117 x 1286876773 x 212239899 x 14521
Negative: -1 x -143743379-13 x -11057183-19 x -7565441-247 x -581957-521 x -275899-1117 x -128687-6773 x -21223-9899 x -14521


How do I find the factor combinations of the number 143,743,379?

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 143,743,379, 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.

1 143,743,379
-1 -143,743,379

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 143,743,379.

Example:
1 x 143,743,379 = 143,743,379
and
-1 x -143,743,379 = 143,743,379
Notice both answers equal 143,743,379

With that explanation out of the way, let's continue. Next, we take the number 143,743,379 and divide it by 2:

143,743,379 ÷ 2 = 71,871,689.5

If the quotient is a whole number, then 2 and 71,871,689.5 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:

1 143,743,379
-1 -143,743,379

Now, we try dividing 143,743,379 by 3:

143,743,379 ÷ 3 = 47,914,459.6667

If the quotient is a whole number, then 3 and 47,914,459.6667 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:

1 143,743,379
-1 -143,743,379

Let's try dividing by 4:

143,743,379 ÷ 4 = 35,935,844.75

If the quotient is a whole number, then 4 and 35,935,844.75 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:

1 143,743,379
-1 143,743,379
Keep dividing by the next highest number until you cannot divide anymore.

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

113192475211,1176,7739,89914,52121,223128,687275,899581,9577,565,44111,057,183143,743,379
-1-13-19-247-521-1,117-6,773-9,899-14,521-21,223-128,687-275,899-581,957-7,565,441-11,057,183-143,743,379

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