Q: What are the factor combinations of the number 144,220,367?

 A:
Positive:   1 x 14422036717 x 848355153 x 272113959 x 2444413901 x 1600671003 x 1437892713 x 531593127 x 46121
Negative: -1 x -144220367-17 x -8483551-53 x -2721139-59 x -2444413-901 x -160067-1003 x -143789-2713 x -53159-3127 x -46121


How do I find the factor combinations of the number 144,220,367?

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 144,220,367, 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.

1 144,220,367
-1 -144,220,367

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 144,220,367.

Example:
1 x 144,220,367 = 144,220,367
and
-1 x -144,220,367 = 144,220,367
Notice both answers equal 144,220,367

With that explanation out of the way, let's continue. Next, we take the number 144,220,367 and divide it by 2:

144,220,367 ÷ 2 = 72,110,183.5

If the quotient is a whole number, then 2 and 72,110,183.5 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:

1 144,220,367
-1 -144,220,367

Now, we try dividing 144,220,367 by 3:

144,220,367 ÷ 3 = 48,073,455.6667

If the quotient is a whole number, then 3 and 48,073,455.6667 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:

1 144,220,367
-1 -144,220,367

Let's try dividing by 4:

144,220,367 ÷ 4 = 36,055,091.75

If the quotient is a whole number, then 4 and 36,055,091.75 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:

1 144,220,367
-1 144,220,367
Keep dividing by the next highest number until you cannot divide anymore.

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

11753599011,0032,7133,12746,12153,159143,789160,0672,444,4132,721,1398,483,551144,220,367
-1-17-53-59-901-1,003-2,713-3,127-46,121-53,159-143,789-160,067-2,444,413-2,721,139-8,483,551-144,220,367

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