Q: What are the factor combinations of the number 144,560,773?

 A:
Positive:   1 x 1445607737 x 2065153923 x 6285251161 x 897893823 x 1756511091 x 1325035761 x 250937637 x 18929
Negative: -1 x -144560773-7 x -20651539-23 x -6285251-161 x -897893-823 x -175651-1091 x -132503-5761 x -25093-7637 x -18929


How do I find the factor combinations of the number 144,560,773?

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 144,560,773, 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.

1 144,560,773
-1 -144,560,773

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 144,560,773.

Example:
1 x 144,560,773 = 144,560,773
and
-1 x -144,560,773 = 144,560,773
Notice both answers equal 144,560,773

With that explanation out of the way, let's continue. Next, we take the number 144,560,773 and divide it by 2:

144,560,773 ÷ 2 = 72,280,386.5

If the quotient is a whole number, then 2 and 72,280,386.5 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:

1 144,560,773
-1 -144,560,773

Now, we try dividing 144,560,773 by 3:

144,560,773 ÷ 3 = 48,186,924.3333

If the quotient is a whole number, then 3 and 48,186,924.3333 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:

1 144,560,773
-1 -144,560,773

Let's try dividing by 4:

144,560,773 ÷ 4 = 36,140,193.25

If the quotient is a whole number, then 4 and 36,140,193.25 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:

1 144,560,773
-1 144,560,773
Keep dividing by the next highest number until you cannot divide anymore.

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

17231618231,0915,7617,63718,92925,093132,503175,651897,8936,285,25120,651,539144,560,773
-1-7-23-161-823-1,091-5,761-7,637-18,929-25,093-132,503-175,651-897,893-6,285,251-20,651,539-144,560,773

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