Q: What are the factor combinations of the number 142,422,413?

 A:
Positive:   1 x 1424224137 x 2034605917 x 8377789119 x 11968271091 x 1305431097 x 1298297637 x 186497679 x 18547
Negative: -1 x -142422413-7 x -20346059-17 x -8377789-119 x -1196827-1091 x -130543-1097 x -129829-7637 x -18649-7679 x -18547


How do I find the factor combinations of the number 142,422,413?

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 142,422,413, 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.

1 142,422,413
-1 -142,422,413

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 142,422,413.

Example:
1 x 142,422,413 = 142,422,413
and
-1 x -142,422,413 = 142,422,413
Notice both answers equal 142,422,413

With that explanation out of the way, let's continue. Next, we take the number 142,422,413 and divide it by 2:

142,422,413 ÷ 2 = 71,211,206.5

If the quotient is a whole number, then 2 and 71,211,206.5 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:

1 142,422,413
-1 -142,422,413

Now, we try dividing 142,422,413 by 3:

142,422,413 ÷ 3 = 47,474,137.6667

If the quotient is a whole number, then 3 and 47,474,137.6667 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:

1 142,422,413
-1 -142,422,413

Let's try dividing by 4:

142,422,413 ÷ 4 = 35,605,603.25

If the quotient is a whole number, then 4 and 35,605,603.25 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:

1 142,422,413
-1 142,422,413
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191,0911,0977,6377,67918,54718,649129,829130,5431,196,8278,377,78920,346,059142,422,413
-1-7-17-119-1,091-1,097-7,637-7,679-18,547-18,649-129,829-130,543-1,196,827-8,377,789-20,346,059-142,422,413

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