Q: What are the factor combinations of the number 144,127,555?

 A:
Positive:   1 x 1441275555 x 2882551111 x 1310250513 x 1108673555 x 262050165 x 2217347143 x 1007885715 x 201577
Negative: -1 x -144127555-5 x -28825511-11 x -13102505-13 x -11086735-55 x -2620501-65 x -2217347-143 x -1007885-715 x -201577


How do I find the factor combinations of the number 144,127,555?

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 144,127,555, 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.

1 144,127,555
-1 -144,127,555

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 144,127,555.

Example:
1 x 144,127,555 = 144,127,555
and
-1 x -144,127,555 = 144,127,555
Notice both answers equal 144,127,555

With that explanation out of the way, let's continue. Next, we take the number 144,127,555 and divide it by 2:

144,127,555 ÷ 2 = 72,063,777.5

If the quotient is a whole number, then 2 and 72,063,777.5 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:

1 144,127,555
-1 -144,127,555

Now, we try dividing 144,127,555 by 3:

144,127,555 ÷ 3 = 48,042,518.3333

If the quotient is a whole number, then 3 and 48,042,518.3333 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:

1 144,127,555
-1 -144,127,555

Let's try dividing by 4:

144,127,555 ÷ 4 = 36,031,888.75

If the quotient is a whole number, then 4 and 36,031,888.75 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:

1 144,127,555
-1 144,127,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715201,5771,007,8852,217,3472,620,50111,086,73513,102,50528,825,511144,127,555
-1-5-11-13-55-65-143-715-201,577-1,007,885-2,217,347-2,620,501-11,086,735-13,102,505-28,825,511-144,127,555

More Examples

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