Q: What are the factor combinations of the number 143,540,357?

 A:
Positive:   1 x 14354035789 x 1612813383 x 3747794211 x 34087
Negative: -1 x -143540357-89 x -1612813-383 x -374779-4211 x -34087


How do I find the factor combinations of the number 143,540,357?

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 143,540,357, 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.

1 143,540,357
-1 -143,540,357

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 143,540,357.

Example:
1 x 143,540,357 = 143,540,357
and
-1 x -143,540,357 = 143,540,357
Notice both answers equal 143,540,357

With that explanation out of the way, let's continue. Next, we take the number 143,540,357 and divide it by 2:

143,540,357 ÷ 2 = 71,770,178.5

If the quotient is a whole number, then 2 and 71,770,178.5 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:

1 143,540,357
-1 -143,540,357

Now, we try dividing 143,540,357 by 3:

143,540,357 ÷ 3 = 47,846,785.6667

If the quotient is a whole number, then 3 and 47,846,785.6667 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:

1 143,540,357
-1 -143,540,357

Let's try dividing by 4:

143,540,357 ÷ 4 = 35,885,089.25

If the quotient is a whole number, then 4 and 35,885,089.25 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:

1 143,540,357
-1 143,540,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1893834,21134,087374,7791,612,813143,540,357
-1-89-383-4,211-34,087-374,779-1,612,813-143,540,357

More Examples

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