Q: What are the factor combinations of the number 144,137,569?

 A:
Positive:   1 x 14413756929 x 497026131 x 464959967 x 2151307899 x 1603311943 x 741832077 x 693972393 x 60233
Negative: -1 x -144137569-29 x -4970261-31 x -4649599-67 x -2151307-899 x -160331-1943 x -74183-2077 x -69397-2393 x -60233


How do I find the factor combinations of the number 144,137,569?

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 144,137,569, 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.

1 144,137,569
-1 -144,137,569

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 144,137,569.

Example:
1 x 144,137,569 = 144,137,569
and
-1 x -144,137,569 = 144,137,569
Notice both answers equal 144,137,569

With that explanation out of the way, let's continue. Next, we take the number 144,137,569 and divide it by 2:

144,137,569 ÷ 2 = 72,068,784.5

If the quotient is a whole number, then 2 and 72,068,784.5 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:

1 144,137,569
-1 -144,137,569

Now, we try dividing 144,137,569 by 3:

144,137,569 ÷ 3 = 48,045,856.3333

If the quotient is a whole number, then 3 and 48,045,856.3333 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:

1 144,137,569
-1 -144,137,569

Let's try dividing by 4:

144,137,569 ÷ 4 = 36,034,392.25

If the quotient is a whole number, then 4 and 36,034,392.25 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:

1 144,137,569
-1 144,137,569
Keep dividing by the next highest number until you cannot divide anymore.

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

12931678991,9432,0772,39360,23369,39774,183160,3312,151,3074,649,5994,970,261144,137,569
-1-29-31-67-899-1,943-2,077-2,393-60,233-69,397-74,183-160,331-2,151,307-4,649,599-4,970,261-144,137,569

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