Q: What are the factor combinations of the number 139,503,073?

 A:
Positive:   1 x 13950307319 x 734226723 x 606535173 x 1911001437 x 3192291387 x 1005791679 x 830874373 x 31901
Negative: -1 x -139503073-19 x -7342267-23 x -6065351-73 x -1911001-437 x -319229-1387 x -100579-1679 x -83087-4373 x -31901


How do I find the factor combinations of the number 139,503,073?

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 139,503,073, 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.

1 139,503,073
-1 -139,503,073

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 139,503,073.

Example:
1 x 139,503,073 = 139,503,073
and
-1 x -139,503,073 = 139,503,073
Notice both answers equal 139,503,073

With that explanation out of the way, let's continue. Next, we take the number 139,503,073 and divide it by 2:

139,503,073 ÷ 2 = 69,751,536.5

If the quotient is a whole number, then 2 and 69,751,536.5 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:

1 139,503,073
-1 -139,503,073

Now, we try dividing 139,503,073 by 3:

139,503,073 ÷ 3 = 46,501,024.3333

If the quotient is a whole number, then 3 and 46,501,024.3333 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:

1 139,503,073
-1 -139,503,073

Let's try dividing by 4:

139,503,073 ÷ 4 = 34,875,768.25

If the quotient is a whole number, then 4 and 34,875,768.25 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:

1 139,503,073
-1 139,503,073
Keep dividing by the next highest number until you cannot divide anymore.

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

11923734371,3871,6794,37331,90183,087100,579319,2291,911,0016,065,3517,342,267139,503,073
-1-19-23-73-437-1,387-1,679-4,373-31,901-83,087-100,579-319,229-1,911,001-6,065,351-7,342,267-139,503,073

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