Q: What are the factor combinations of the number 143,445,535?

 A:
Positive:   1 x 1434455355 x 2868910719 x 754976595 x 1509953
Negative: -1 x -143445535-5 x -28689107-19 x -7549765-95 x -1509953


How do I find the factor combinations of the number 143,445,535?

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 143,445,535, 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.

1 143,445,535
-1 -143,445,535

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 143,445,535.

Example:
1 x 143,445,535 = 143,445,535
and
-1 x -143,445,535 = 143,445,535
Notice both answers equal 143,445,535

With that explanation out of the way, let's continue. Next, we take the number 143,445,535 and divide it by 2:

143,445,535 ÷ 2 = 71,722,767.5

If the quotient is a whole number, then 2 and 71,722,767.5 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:

1 143,445,535
-1 -143,445,535

Now, we try dividing 143,445,535 by 3:

143,445,535 ÷ 3 = 47,815,178.3333

If the quotient is a whole number, then 3 and 47,815,178.3333 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:

1 143,445,535
-1 -143,445,535

Let's try dividing by 4:

143,445,535 ÷ 4 = 35,861,383.75

If the quotient is a whole number, then 4 and 35,861,383.75 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:

1 143,445,535
-1 143,445,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,509,9537,549,76528,689,107143,445,535
-1-5-19-95-1,509,953-7,549,765-28,689,107-143,445,535

More Examples

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