Q: What are the factor combinations of the number 144,021,215?

 A:
Positive:   1 x 1440212155 x 2880424313 x 1107855565 x 2215711211 x 6825651055 x 1365132743 x 5250510501 x 13715
Negative: -1 x -144021215-5 x -28804243-13 x -11078555-65 x -2215711-211 x -682565-1055 x -136513-2743 x -52505-10501 x -13715


How do I find the factor combinations of the number 144,021,215?

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 144,021,215, 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.

1 144,021,215
-1 -144,021,215

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 144,021,215.

Example:
1 x 144,021,215 = 144,021,215
and
-1 x -144,021,215 = 144,021,215
Notice both answers equal 144,021,215

With that explanation out of the way, let's continue. Next, we take the number 144,021,215 and divide it by 2:

144,021,215 ÷ 2 = 72,010,607.5

If the quotient is a whole number, then 2 and 72,010,607.5 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:

1 144,021,215
-1 -144,021,215

Now, we try dividing 144,021,215 by 3:

144,021,215 ÷ 3 = 48,007,071.6667

If the quotient is a whole number, then 3 and 48,007,071.6667 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:

1 144,021,215
-1 -144,021,215

Let's try dividing by 4:

144,021,215 ÷ 4 = 36,005,303.75

If the quotient is a whole number, then 4 and 36,005,303.75 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:

1 144,021,215
-1 144,021,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652111,0552,74310,50113,71552,505136,513682,5652,215,71111,078,55528,804,243144,021,215
-1-5-13-65-211-1,055-2,743-10,501-13,715-52,505-136,513-682,565-2,215,711-11,078,555-28,804,243-144,021,215

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