Q: What are the factor combinations of the number 144,051,215?

 A:
Positive:   1 x 1440512155 x 288102437 x 2057874511 x 1309556535 x 411574955 x 261911377 x 1870795385 x 374159
Negative: -1 x -144051215-5 x -28810243-7 x -20578745-11 x -13095565-35 x -4115749-55 x -2619113-77 x -1870795-385 x -374159


How do I find the factor combinations of the number 144,051,215?

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 144,051,215, 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.

1 144,051,215
-1 -144,051,215

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 144,051,215.

Example:
1 x 144,051,215 = 144,051,215
and
-1 x -144,051,215 = 144,051,215
Notice both answers equal 144,051,215

With that explanation out of the way, let's continue. Next, we take the number 144,051,215 and divide it by 2:

144,051,215 ÷ 2 = 72,025,607.5

If the quotient is a whole number, then 2 and 72,025,607.5 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:

1 144,051,215
-1 -144,051,215

Now, we try dividing 144,051,215 by 3:

144,051,215 ÷ 3 = 48,017,071.6667

If the quotient is a whole number, then 3 and 48,017,071.6667 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:

1 144,051,215
-1 -144,051,215

Let's try dividing by 4:

144,051,215 ÷ 4 = 36,012,803.75

If the quotient is a whole number, then 4 and 36,012,803.75 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:

1 144,051,215
-1 144,051,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385374,1591,870,7952,619,1134,115,74913,095,56520,578,74528,810,243144,051,215
-1-5-7-11-35-55-77-385-374,159-1,870,795-2,619,113-4,115,749-13,095,565-20,578,745-28,810,243-144,051,215

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