Q: What are the factor combinations of the number 144,778,715?

 A:
Positive:   1 x 1447787155 x 2895574317 x 851639585 x 1703279491 x 2948652455 x 589733469 x 417358347 x 17345
Negative: -1 x -144778715-5 x -28955743-17 x -8516395-85 x -1703279-491 x -294865-2455 x -58973-3469 x -41735-8347 x -17345


How do I find the factor combinations of the number 144,778,715?

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 144,778,715, 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.

1 144,778,715
-1 -144,778,715

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 144,778,715.

Example:
1 x 144,778,715 = 144,778,715
and
-1 x -144,778,715 = 144,778,715
Notice both answers equal 144,778,715

With that explanation out of the way, let's continue. Next, we take the number 144,778,715 and divide it by 2:

144,778,715 ÷ 2 = 72,389,357.5

If the quotient is a whole number, then 2 and 72,389,357.5 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:

1 144,778,715
-1 -144,778,715

Now, we try dividing 144,778,715 by 3:

144,778,715 ÷ 3 = 48,259,571.6667

If the quotient is a whole number, then 3 and 48,259,571.6667 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:

1 144,778,715
-1 -144,778,715

Let's try dividing by 4:

144,778,715 ÷ 4 = 36,194,678.75

If the quotient is a whole number, then 4 and 36,194,678.75 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:

1 144,778,715
-1 144,778,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854912,4553,4698,34717,34541,73558,973294,8651,703,2798,516,39528,955,743144,778,715
-1-5-17-85-491-2,455-3,469-8,347-17,345-41,735-58,973-294,865-1,703,279-8,516,395-28,955,743-144,778,715

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