Q: What are the factor combinations of the number 145,033,889?

 A:
Positive:   1 x 1450338897 x 2071912711 x 1318489913 x 1115645377 x 188355791 x 1593779143 x 10142231001 x 144889
Negative: -1 x -145033889-7 x -20719127-11 x -13184899-13 x -11156453-77 x -1883557-91 x -1593779-143 x -1014223-1001 x -144889


How do I find the factor combinations of the number 145,033,889?

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 145,033,889, 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.

1 145,033,889
-1 -145,033,889

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 145,033,889.

Example:
1 x 145,033,889 = 145,033,889
and
-1 x -145,033,889 = 145,033,889
Notice both answers equal 145,033,889

With that explanation out of the way, let's continue. Next, we take the number 145,033,889 and divide it by 2:

145,033,889 ÷ 2 = 72,516,944.5

If the quotient is a whole number, then 2 and 72,516,944.5 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:

1 145,033,889
-1 -145,033,889

Now, we try dividing 145,033,889 by 3:

145,033,889 ÷ 3 = 48,344,629.6667

If the quotient is a whole number, then 3 and 48,344,629.6667 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:

1 145,033,889
-1 -145,033,889

Let's try dividing by 4:

145,033,889 ÷ 4 = 36,258,472.25

If the quotient is a whole number, then 4 and 36,258,472.25 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:

1 145,033,889
-1 145,033,889
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001144,8891,014,2231,593,7791,883,55711,156,45313,184,89920,719,127145,033,889
-1-7-11-13-77-91-143-1,001-144,889-1,014,223-1,593,779-1,883,557-11,156,453-13,184,899-20,719,127-145,033,889

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