Q: What are the factor combinations of the number 143,745,077?

 A:
Positive:   1 x 1437450777 x 2053501149 x 2933573127 x 1131851889 x 1616936223 x 23099
Negative: -1 x -143745077-7 x -20535011-49 x -2933573-127 x -1131851-889 x -161693-6223 x -23099


How do I find the factor combinations of the number 143,745,077?

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 143,745,077, 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.

1 143,745,077
-1 -143,745,077

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 143,745,077.

Example:
1 x 143,745,077 = 143,745,077
and
-1 x -143,745,077 = 143,745,077
Notice both answers equal 143,745,077

With that explanation out of the way, let's continue. Next, we take the number 143,745,077 and divide it by 2:

143,745,077 ÷ 2 = 71,872,538.5

If the quotient is a whole number, then 2 and 71,872,538.5 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:

1 143,745,077
-1 -143,745,077

Now, we try dividing 143,745,077 by 3:

143,745,077 ÷ 3 = 47,915,025.6667

If the quotient is a whole number, then 3 and 47,915,025.6667 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:

1 143,745,077
-1 -143,745,077

Let's try dividing by 4:

143,745,077 ÷ 4 = 35,936,269.25

If the quotient is a whole number, then 4 and 35,936,269.25 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:

1 143,745,077
-1 143,745,077
Keep dividing by the next highest number until you cannot divide anymore.

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

17491278896,22323,099161,6931,131,8512,933,57320,535,011143,745,077
-1-7-49-127-889-6,223-23,099-161,693-1,131,851-2,933,573-20,535,011-143,745,077

More Examples

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