Q: What are the factor combinations of the number 144,212,153?

 A:
Positive:   1 x 14421215343 x 3353771379 x 3805078849 x 16297
Negative: -1 x -144212153-43 x -3353771-379 x -380507-8849 x -16297


How do I find the factor combinations of the number 144,212,153?

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 144,212,153, 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.

1 144,212,153
-1 -144,212,153

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 144,212,153.

Example:
1 x 144,212,153 = 144,212,153
and
-1 x -144,212,153 = 144,212,153
Notice both answers equal 144,212,153

With that explanation out of the way, let's continue. Next, we take the number 144,212,153 and divide it by 2:

144,212,153 ÷ 2 = 72,106,076.5

If the quotient is a whole number, then 2 and 72,106,076.5 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:

1 144,212,153
-1 -144,212,153

Now, we try dividing 144,212,153 by 3:

144,212,153 ÷ 3 = 48,070,717.6667

If the quotient is a whole number, then 3 and 48,070,717.6667 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:

1 144,212,153
-1 -144,212,153

Let's try dividing by 4:

144,212,153 ÷ 4 = 36,053,038.25

If the quotient is a whole number, then 4 and 36,053,038.25 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:

1 144,212,153
-1 144,212,153
Keep dividing by the next highest number until you cannot divide anymore.

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

1433798,84916,297380,5073,353,771144,212,153
-1-43-379-8,849-16,297-380,507-3,353,771-144,212,153

More Examples

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