Q: What are the factor combinations of the number 142,012,775?

 A:
Positive:   1 x 1420127755 x 2840255525 x 5680511683 x 2079253415 x 415858317 x 17075
Negative: -1 x -142012775-5 x -28402555-25 x -5680511-683 x -207925-3415 x -41585-8317 x -17075


How do I find the factor combinations of the number 142,012,775?

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 142,012,775, 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.

1 142,012,775
-1 -142,012,775

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 142,012,775.

Example:
1 x 142,012,775 = 142,012,775
and
-1 x -142,012,775 = 142,012,775
Notice both answers equal 142,012,775

With that explanation out of the way, let's continue. Next, we take the number 142,012,775 and divide it by 2:

142,012,775 ÷ 2 = 71,006,387.5

If the quotient is a whole number, then 2 and 71,006,387.5 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:

1 142,012,775
-1 -142,012,775

Now, we try dividing 142,012,775 by 3:

142,012,775 ÷ 3 = 47,337,591.6667

If the quotient is a whole number, then 3 and 47,337,591.6667 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:

1 142,012,775
-1 -142,012,775

Let's try dividing by 4:

142,012,775 ÷ 4 = 35,503,193.75

If the quotient is a whole number, then 4 and 35,503,193.75 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:

1 142,012,775
-1 142,012,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15256833,4158,31717,07541,585207,9255,680,51128,402,555142,012,775
-1-5-25-683-3,415-8,317-17,075-41,585-207,925-5,680,511-28,402,555-142,012,775

More Examples

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