Q: What are the factor combinations of the number 144,143,455?

 A:
Positive:   1 x 1441434555 x 2882869197 x 1486015439 x 328345485 x 297203677 x 2129152195 x 656693385 x 42583
Negative: -1 x -144143455-5 x -28828691-97 x -1486015-439 x -328345-485 x -297203-677 x -212915-2195 x -65669-3385 x -42583


How do I find the factor combinations of the number 144,143,455?

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 144,143,455, 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.

1 144,143,455
-1 -144,143,455

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 144,143,455.

Example:
1 x 144,143,455 = 144,143,455
and
-1 x -144,143,455 = 144,143,455
Notice both answers equal 144,143,455

With that explanation out of the way, let's continue. Next, we take the number 144,143,455 and divide it by 2:

144,143,455 ÷ 2 = 72,071,727.5

If the quotient is a whole number, then 2 and 72,071,727.5 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:

1 144,143,455
-1 -144,143,455

Now, we try dividing 144,143,455 by 3:

144,143,455 ÷ 3 = 48,047,818.3333

If the quotient is a whole number, then 3 and 48,047,818.3333 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:

1 144,143,455
-1 -144,143,455

Let's try dividing by 4:

144,143,455 ÷ 4 = 36,035,863.75

If the quotient is a whole number, then 4 and 36,035,863.75 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:

1 144,143,455
-1 144,143,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15974394856772,1953,38542,58365,669212,915297,203328,3451,486,01528,828,691144,143,455
-1-5-97-439-485-677-2,195-3,385-42,583-65,669-212,915-297,203-328,345-1,486,015-28,828,691-144,143,455

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 144,143,455:


Ask a Question