Q: What are the factor combinations of the number 142,054,757?

 A:
Positive:   1 x 14205475713 x 1092728943 x 3303599199 x 713843559 x 2541231277 x 1112412587 x 549118557 x 16601
Negative: -1 x -142054757-13 x -10927289-43 x -3303599-199 x -713843-559 x -254123-1277 x -111241-2587 x -54911-8557 x -16601


How do I find the factor combinations of the number 142,054,757?

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 142,054,757, 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.

1 142,054,757
-1 -142,054,757

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 142,054,757.

Example:
1 x 142,054,757 = 142,054,757
and
-1 x -142,054,757 = 142,054,757
Notice both answers equal 142,054,757

With that explanation out of the way, let's continue. Next, we take the number 142,054,757 and divide it by 2:

142,054,757 ÷ 2 = 71,027,378.5

If the quotient is a whole number, then 2 and 71,027,378.5 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:

1 142,054,757
-1 -142,054,757

Now, we try dividing 142,054,757 by 3:

142,054,757 ÷ 3 = 47,351,585.6667

If the quotient is a whole number, then 3 and 47,351,585.6667 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:

1 142,054,757
-1 -142,054,757

Let's try dividing by 4:

142,054,757 ÷ 4 = 35,513,689.25

If the quotient is a whole number, then 4 and 35,513,689.25 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:

1 142,054,757
-1 142,054,757
Keep dividing by the next highest number until you cannot divide anymore.

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

113431995591,2772,5878,55716,60154,911111,241254,123713,8433,303,59910,927,289142,054,757
-1-13-43-199-559-1,277-2,587-8,557-16,601-54,911-111,241-254,123-713,843-3,303,599-10,927,289-142,054,757

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