Q: What are the factor combinations of the number 142,574,075?

 A:
Positive:   1 x 1425740755 x 285148157 x 2036772525 x 570296335 x 407354549 x 2909675175 x 814709245 x 5819351225 x 116387
Negative: -1 x -142574075-5 x -28514815-7 x -20367725-25 x -5702963-35 x -4073545-49 x -2909675-175 x -814709-245 x -581935-1225 x -116387


How do I find the factor combinations of the number 142,574,075?

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 142,574,075, 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.

1 142,574,075
-1 -142,574,075

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 142,574,075.

Example:
1 x 142,574,075 = 142,574,075
and
-1 x -142,574,075 = 142,574,075
Notice both answers equal 142,574,075

With that explanation out of the way, let's continue. Next, we take the number 142,574,075 and divide it by 2:

142,574,075 ÷ 2 = 71,287,037.5

If the quotient is a whole number, then 2 and 71,287,037.5 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:

1 142,574,075
-1 -142,574,075

Now, we try dividing 142,574,075 by 3:

142,574,075 ÷ 3 = 47,524,691.6667

If the quotient is a whole number, then 3 and 47,524,691.6667 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:

1 142,574,075
-1 -142,574,075

Let's try dividing by 4:

142,574,075 ÷ 4 = 35,643,518.75

If the quotient is a whole number, then 4 and 35,643,518.75 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:

1 142,574,075
-1 142,574,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225116,387581,935814,7092,909,6754,073,5455,702,96320,367,72528,514,815142,574,075
-1-5-7-25-35-49-175-245-1,225-116,387-581,935-814,709-2,909,675-4,073,545-5,702,963-20,367,725-28,514,815-142,574,075

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