Q: What are the factor combinations of the number 144,210,011?

 A:
Positive:   1 x 14421001111 x 1311000129 x 4972759167 x 863533319 x 4520691837 x 785032707 x 532734843 x 29777
Negative: -1 x -144210011-11 x -13110001-29 x -4972759-167 x -863533-319 x -452069-1837 x -78503-2707 x -53273-4843 x -29777


How do I find the factor combinations of the number 144,210,011?

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 144,210,011, 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.

1 144,210,011
-1 -144,210,011

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 144,210,011.

Example:
1 x 144,210,011 = 144,210,011
and
-1 x -144,210,011 = 144,210,011
Notice both answers equal 144,210,011

With that explanation out of the way, let's continue. Next, we take the number 144,210,011 and divide it by 2:

144,210,011 ÷ 2 = 72,105,005.5

If the quotient is a whole number, then 2 and 72,105,005.5 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:

1 144,210,011
-1 -144,210,011

Now, we try dividing 144,210,011 by 3:

144,210,011 ÷ 3 = 48,070,003.6667

If the quotient is a whole number, then 3 and 48,070,003.6667 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:

1 144,210,011
-1 -144,210,011

Let's try dividing by 4:

144,210,011 ÷ 4 = 36,052,502.75

If the quotient is a whole number, then 4 and 36,052,502.75 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:

1 144,210,011
-1 144,210,011
Keep dividing by the next highest number until you cannot divide anymore.

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

111291673191,8372,7074,84329,77753,27378,503452,069863,5334,972,75913,110,001144,210,011
-1-11-29-167-319-1,837-2,707-4,843-29,777-53,273-78,503-452,069-863,533-4,972,759-13,110,001-144,210,011

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