Q: What are the factor combinations of the number 142,520,443?

 A:
Positive:   1 x 14252044313 x 1096311123 x 6196541109 x 1307527299 x 4766571417 x 1005792507 x 568494373 x 32591
Negative: -1 x -142520443-13 x -10963111-23 x -6196541-109 x -1307527-299 x -476657-1417 x -100579-2507 x -56849-4373 x -32591


How do I find the factor combinations of the number 142,520,443?

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 142,520,443, 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.

1 142,520,443
-1 -142,520,443

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 142,520,443.

Example:
1 x 142,520,443 = 142,520,443
and
-1 x -142,520,443 = 142,520,443
Notice both answers equal 142,520,443

With that explanation out of the way, let's continue. Next, we take the number 142,520,443 and divide it by 2:

142,520,443 ÷ 2 = 71,260,221.5

If the quotient is a whole number, then 2 and 71,260,221.5 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:

1 142,520,443
-1 -142,520,443

Now, we try dividing 142,520,443 by 3:

142,520,443 ÷ 3 = 47,506,814.3333

If the quotient is a whole number, then 3 and 47,506,814.3333 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:

1 142,520,443
-1 -142,520,443

Let's try dividing by 4:

142,520,443 ÷ 4 = 35,630,110.75

If the quotient is a whole number, then 4 and 35,630,110.75 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:

1 142,520,443
-1 142,520,443
Keep dividing by the next highest number until you cannot divide anymore.

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

113231092991,4172,5074,37332,59156,849100,579476,6571,307,5276,196,54110,963,111142,520,443
-1-13-23-109-299-1,417-2,507-4,373-32,591-56,849-100,579-476,657-1,307,527-6,196,541-10,963,111-142,520,443

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