Q: What are the factor combinations of the number 143,317,909?

 A:
Positive:   1 x 1433179097 x 2047398737 x 3873457259 x 553351
Negative: -1 x -143317909-7 x -20473987-37 x -3873457-259 x -553351


How do I find the factor combinations of the number 143,317,909?

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 143,317,909, 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.

1 143,317,909
-1 -143,317,909

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 143,317,909.

Example:
1 x 143,317,909 = 143,317,909
and
-1 x -143,317,909 = 143,317,909
Notice both answers equal 143,317,909

With that explanation out of the way, let's continue. Next, we take the number 143,317,909 and divide it by 2:

143,317,909 ÷ 2 = 71,658,954.5

If the quotient is a whole number, then 2 and 71,658,954.5 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:

1 143,317,909
-1 -143,317,909

Now, we try dividing 143,317,909 by 3:

143,317,909 ÷ 3 = 47,772,636.3333

If the quotient is a whole number, then 3 and 47,772,636.3333 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:

1 143,317,909
-1 -143,317,909

Let's try dividing by 4:

143,317,909 ÷ 4 = 35,829,477.25

If the quotient is a whole number, then 4 and 35,829,477.25 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:

1 143,317,909
-1 143,317,909
Keep dividing by the next highest number until you cannot divide anymore.

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

1737259553,3513,873,45720,473,987143,317,909
-1-7-37-259-553,351-3,873,457-20,473,987-143,317,909

More Examples

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