Q: What are the factor combinations of the number 144,242,357?

 A:
Positive:   1 x 1442423577 x 2060605119 x 759170367 x 2152871133 x 1084529469 x 3075531273 x 1133098911 x 16187
Negative: -1 x -144242357-7 x -20606051-19 x -7591703-67 x -2152871-133 x -1084529-469 x -307553-1273 x -113309-8911 x -16187


How do I find the factor combinations of the number 144,242,357?

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 144,242,357, 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.

1 144,242,357
-1 -144,242,357

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 144,242,357.

Example:
1 x 144,242,357 = 144,242,357
and
-1 x -144,242,357 = 144,242,357
Notice both answers equal 144,242,357

With that explanation out of the way, let's continue. Next, we take the number 144,242,357 and divide it by 2:

144,242,357 ÷ 2 = 72,121,178.5

If the quotient is a whole number, then 2 and 72,121,178.5 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:

1 144,242,357
-1 -144,242,357

Now, we try dividing 144,242,357 by 3:

144,242,357 ÷ 3 = 48,080,785.6667

If the quotient is a whole number, then 3 and 48,080,785.6667 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:

1 144,242,357
-1 -144,242,357

Let's try dividing by 4:

144,242,357 ÷ 4 = 36,060,589.25

If the quotient is a whole number, then 4 and 36,060,589.25 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:

1 144,242,357
-1 144,242,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1719671334691,2738,91116,187113,309307,5531,084,5292,152,8717,591,70320,606,051144,242,357
-1-7-19-67-133-469-1,273-8,911-16,187-113,309-307,553-1,084,529-2,152,871-7,591,703-20,606,051-144,242,357

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 144,242,357:


Ask a Question