Q: What are the factor combinations of the number 144,332,113?

 A:
Positive:   1 x 14433211319 x 759642759 x 2446307199 x 725287647 x 2230791121 x 1287533781 x 3817311741 x 12293
Negative: -1 x -144332113-19 x -7596427-59 x -2446307-199 x -725287-647 x -223079-1121 x -128753-3781 x -38173-11741 x -12293


How do I find the factor combinations of the number 144,332,113?

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 144,332,113, 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.

1 144,332,113
-1 -144,332,113

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 144,332,113.

Example:
1 x 144,332,113 = 144,332,113
and
-1 x -144,332,113 = 144,332,113
Notice both answers equal 144,332,113

With that explanation out of the way, let's continue. Next, we take the number 144,332,113 and divide it by 2:

144,332,113 ÷ 2 = 72,166,056.5

If the quotient is a whole number, then 2 and 72,166,056.5 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:

1 144,332,113
-1 -144,332,113

Now, we try dividing 144,332,113 by 3:

144,332,113 ÷ 3 = 48,110,704.3333

If the quotient is a whole number, then 3 and 48,110,704.3333 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:

1 144,332,113
-1 -144,332,113

Let's try dividing by 4:

144,332,113 ÷ 4 = 36,083,028.25

If the quotient is a whole number, then 4 and 36,083,028.25 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:

1 144,332,113
-1 144,332,113
Keep dividing by the next highest number until you cannot divide anymore.

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

119591996471,1213,78111,74112,29338,173128,753223,079725,2872,446,3077,596,427144,332,113
-1-19-59-199-647-1,121-3,781-11,741-12,293-38,173-128,753-223,079-725,287-2,446,307-7,596,427-144,332,113

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