Q: What are the factor combinations of the number 144,625,735?

 A:
Positive:   1 x 1446257355 x 28925147179 x 807965283 x 511045571 x 253285895 x 1615931415 x 1022092855 x 50657
Negative: -1 x -144625735-5 x -28925147-179 x -807965-283 x -511045-571 x -253285-895 x -161593-1415 x -102209-2855 x -50657


How do I find the factor combinations of the number 144,625,735?

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 144,625,735, 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.

1 144,625,735
-1 -144,625,735

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 144,625,735.

Example:
1 x 144,625,735 = 144,625,735
and
-1 x -144,625,735 = 144,625,735
Notice both answers equal 144,625,735

With that explanation out of the way, let's continue. Next, we take the number 144,625,735 and divide it by 2:

144,625,735 ÷ 2 = 72,312,867.5

If the quotient is a whole number, then 2 and 72,312,867.5 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:

1 144,625,735
-1 -144,625,735

Now, we try dividing 144,625,735 by 3:

144,625,735 ÷ 3 = 48,208,578.3333

If the quotient is a whole number, then 3 and 48,208,578.3333 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:

1 144,625,735
-1 -144,625,735

Let's try dividing by 4:

144,625,735 ÷ 4 = 36,156,433.75

If the quotient is a whole number, then 4 and 36,156,433.75 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:

1 144,625,735
-1 144,625,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151792835718951,4152,85550,657102,209161,593253,285511,045807,96528,925,147144,625,735
-1-5-179-283-571-895-1,415-2,855-50,657-102,209-161,593-253,285-511,045-807,965-28,925,147-144,625,735

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