Q: What are the factor combinations of the number 144,571,043?

 A:
Positive:   1 x 14457104317 x 850417941 x 3526123697 x 2074191681 x 860035059 x 28577
Negative: -1 x -144571043-17 x -8504179-41 x -3526123-697 x -207419-1681 x -86003-5059 x -28577


How do I find the factor combinations of the number 144,571,043?

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 144,571,043, 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.

1 144,571,043
-1 -144,571,043

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 144,571,043.

Example:
1 x 144,571,043 = 144,571,043
and
-1 x -144,571,043 = 144,571,043
Notice both answers equal 144,571,043

With that explanation out of the way, let's continue. Next, we take the number 144,571,043 and divide it by 2:

144,571,043 ÷ 2 = 72,285,521.5

If the quotient is a whole number, then 2 and 72,285,521.5 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:

1 144,571,043
-1 -144,571,043

Now, we try dividing 144,571,043 by 3:

144,571,043 ÷ 3 = 48,190,347.6667

If the quotient is a whole number, then 3 and 48,190,347.6667 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:

1 144,571,043
-1 -144,571,043

Let's try dividing by 4:

144,571,043 ÷ 4 = 36,142,760.75

If the quotient is a whole number, then 4 and 36,142,760.75 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:

1 144,571,043
-1 144,571,043
Keep dividing by the next highest number until you cannot divide anymore.

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

117416971,6815,05928,57786,003207,4193,526,1238,504,179144,571,043
-1-17-41-697-1,681-5,059-28,577-86,003-207,419-3,526,123-8,504,179-144,571,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 144,571,043:


Ask a Question