Q: What are the factor combinations of the number 142,142,735?

 A:
Positive:   1 x 1421427355 x 284285477 x 2030610535 x 406122143 x 3305645215 x 661129301 x 4722351505 x 94447
Negative: -1 x -142142735-5 x -28428547-7 x -20306105-35 x -4061221-43 x -3305645-215 x -661129-301 x -472235-1505 x -94447


How do I find the factor combinations of the number 142,142,735?

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 142,142,735, 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.

1 142,142,735
-1 -142,142,735

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 142,142,735.

Example:
1 x 142,142,735 = 142,142,735
and
-1 x -142,142,735 = 142,142,735
Notice both answers equal 142,142,735

With that explanation out of the way, let's continue. Next, we take the number 142,142,735 and divide it by 2:

142,142,735 ÷ 2 = 71,071,367.5

If the quotient is a whole number, then 2 and 71,071,367.5 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:

1 142,142,735
-1 -142,142,735

Now, we try dividing 142,142,735 by 3:

142,142,735 ÷ 3 = 47,380,911.6667

If the quotient is a whole number, then 3 and 47,380,911.6667 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:

1 142,142,735
-1 -142,142,735

Let's try dividing by 4:

142,142,735 ÷ 4 = 35,535,683.75

If the quotient is a whole number, then 4 and 35,535,683.75 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:

1 142,142,735
-1 142,142,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,50594,447472,235661,1293,305,6454,061,22120,306,10528,428,547142,142,735
-1-5-7-35-43-215-301-1,505-94,447-472,235-661,129-3,305,645-4,061,221-20,306,105-28,428,547-142,142,735

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