Q: What are the factor combinations of the number 143,311,411?

 A:
Positive:   1 x 14331141117 x 8430083211 x 6792013587 x 39953
Negative: -1 x -143311411-17 x -8430083-211 x -679201-3587 x -39953


How do I find the factor combinations of the number 143,311,411?

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 143,311,411, 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.

1 143,311,411
-1 -143,311,411

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 143,311,411.

Example:
1 x 143,311,411 = 143,311,411
and
-1 x -143,311,411 = 143,311,411
Notice both answers equal 143,311,411

With that explanation out of the way, let's continue. Next, we take the number 143,311,411 and divide it by 2:

143,311,411 ÷ 2 = 71,655,705.5

If the quotient is a whole number, then 2 and 71,655,705.5 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:

1 143,311,411
-1 -143,311,411

Now, we try dividing 143,311,411 by 3:

143,311,411 ÷ 3 = 47,770,470.3333

If the quotient is a whole number, then 3 and 47,770,470.3333 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:

1 143,311,411
-1 -143,311,411

Let's try dividing by 4:

143,311,411 ÷ 4 = 35,827,852.75

If the quotient is a whole number, then 4 and 35,827,852.75 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:

1 143,311,411
-1 143,311,411
Keep dividing by the next highest number until you cannot divide anymore.

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

1172113,58739,953679,2018,430,083143,311,411
-1-17-211-3,587-39,953-679,201-8,430,083-143,311,411

More Examples

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