Q: What are the factor combinations of the number 144,140,843?

 A:
Positive:   1 x 1441408437 x 2059154911 x 1310371377 x 1871959353 x 4083312471 x 583333883 x 371215303 x 27181
Negative: -1 x -144140843-7 x -20591549-11 x -13103713-77 x -1871959-353 x -408331-2471 x -58333-3883 x -37121-5303 x -27181


How do I find the factor combinations of the number 144,140,843?

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 144,140,843, 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.

1 144,140,843
-1 -144,140,843

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 144,140,843.

Example:
1 x 144,140,843 = 144,140,843
and
-1 x -144,140,843 = 144,140,843
Notice both answers equal 144,140,843

With that explanation out of the way, let's continue. Next, we take the number 144,140,843 and divide it by 2:

144,140,843 ÷ 2 = 72,070,421.5

If the quotient is a whole number, then 2 and 72,070,421.5 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:

1 144,140,843
-1 -144,140,843

Now, we try dividing 144,140,843 by 3:

144,140,843 ÷ 3 = 48,046,947.6667

If the quotient is a whole number, then 3 and 48,046,947.6667 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:

1 144,140,843
-1 -144,140,843

Let's try dividing by 4:

144,140,843 ÷ 4 = 36,035,210.75

If the quotient is a whole number, then 4 and 36,035,210.75 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:

1 144,140,843
-1 144,140,843
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773532,4713,8835,30327,18137,12158,333408,3311,871,95913,103,71320,591,549144,140,843
-1-7-11-77-353-2,471-3,883-5,303-27,181-37,121-58,333-408,331-1,871,959-13,103,713-20,591,549-144,140,843

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 144,140,843:


Ask a Question