Q: What are the factor combinations of the number 142,300,039?

 A:
Positive:   1 x 1423000397 x 2032857737 x 3845947259 x 549421
Negative: -1 x -142300039-7 x -20328577-37 x -3845947-259 x -549421


How do I find the factor combinations of the number 142,300,039?

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 142,300,039, 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.

1 142,300,039
-1 -142,300,039

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 142,300,039.

Example:
1 x 142,300,039 = 142,300,039
and
-1 x -142,300,039 = 142,300,039
Notice both answers equal 142,300,039

With that explanation out of the way, let's continue. Next, we take the number 142,300,039 and divide it by 2:

142,300,039 ÷ 2 = 71,150,019.5

If the quotient is a whole number, then 2 and 71,150,019.5 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:

1 142,300,039
-1 -142,300,039

Now, we try dividing 142,300,039 by 3:

142,300,039 ÷ 3 = 47,433,346.3333

If the quotient is a whole number, then 3 and 47,433,346.3333 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:

1 142,300,039
-1 -142,300,039

Let's try dividing by 4:

142,300,039 ÷ 4 = 35,575,009.75

If the quotient is a whole number, then 4 and 35,575,009.75 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:

1 142,300,039
-1 142,300,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1737259549,4213,845,94720,328,577142,300,039
-1-7-37-259-549,421-3,845,947-20,328,577-142,300,039

More Examples

Here are some more numbers to try:

142,300,037142,300,038142,300,040142,300,041
Try the factor calculator

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