Q: What are the factor combinations of the number 142,404,689?

 A:
Positive:   1 x 1424046897 x 2034352747 x 302988779 x 1802591329 x 432841553 x 2575133713 x 383535479 x 25991
Negative: -1 x -142404689-7 x -20343527-47 x -3029887-79 x -1802591-329 x -432841-553 x -257513-3713 x -38353-5479 x -25991


How do I find the factor combinations of the number 142,404,689?

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 142,404,689, 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.

1 142,404,689
-1 -142,404,689

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 142,404,689.

Example:
1 x 142,404,689 = 142,404,689
and
-1 x -142,404,689 = 142,404,689
Notice both answers equal 142,404,689

With that explanation out of the way, let's continue. Next, we take the number 142,404,689 and divide it by 2:

142,404,689 ÷ 2 = 71,202,344.5

If the quotient is a whole number, then 2 and 71,202,344.5 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:

1 142,404,689
-1 -142,404,689

Now, we try dividing 142,404,689 by 3:

142,404,689 ÷ 3 = 47,468,229.6667

If the quotient is a whole number, then 3 and 47,468,229.6667 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:

1 142,404,689
-1 -142,404,689

Let's try dividing by 4:

142,404,689 ÷ 4 = 35,601,172.25

If the quotient is a whole number, then 4 and 35,601,172.25 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:

1 142,404,689
-1 142,404,689
Keep dividing by the next highest number until you cannot divide anymore.

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

1747793295533,7135,47925,99138,353257,513432,8411,802,5913,029,88720,343,527142,404,689
-1-7-47-79-329-553-3,713-5,479-25,991-38,353-257,513-432,841-1,802,591-3,029,887-20,343,527-142,404,689

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