Q: What are the factor combinations of the number 144,127,477?

 A:
Positive:   1 x 14412747713 x 1108672929 x 496991373 x 1974349377 x 382301949 x 1518732117 x 680815237 x 27521
Negative: -1 x -144127477-13 x -11086729-29 x -4969913-73 x -1974349-377 x -382301-949 x -151873-2117 x -68081-5237 x -27521


How do I find the factor combinations of the number 144,127,477?

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 144,127,477, 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.

1 144,127,477
-1 -144,127,477

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 144,127,477.

Example:
1 x 144,127,477 = 144,127,477
and
-1 x -144,127,477 = 144,127,477
Notice both answers equal 144,127,477

With that explanation out of the way, let's continue. Next, we take the number 144,127,477 and divide it by 2:

144,127,477 ÷ 2 = 72,063,738.5

If the quotient is a whole number, then 2 and 72,063,738.5 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:

1 144,127,477
-1 -144,127,477

Now, we try dividing 144,127,477 by 3:

144,127,477 ÷ 3 = 48,042,492.3333

If the quotient is a whole number, then 3 and 48,042,492.3333 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:

1 144,127,477
-1 -144,127,477

Let's try dividing by 4:

144,127,477 ÷ 4 = 36,031,869.25

If the quotient is a whole number, then 4 and 36,031,869.25 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:

1 144,127,477
-1 144,127,477
Keep dividing by the next highest number until you cannot divide anymore.

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

11329733779492,1175,23727,52168,081151,873382,3011,974,3494,969,91311,086,729144,127,477
-1-13-29-73-377-949-2,117-5,237-27,521-68,081-151,873-382,301-1,974,349-4,969,913-11,086,729-144,127,477

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