Q: What are the factor combinations of the number 132,072,773?

 A:
Positive:   1 x 1320727737 x 1886753947 x 2810059229 x 576737329 x 4014371603 x 823911753 x 7534110763 x 12271
Negative: -1 x -132072773-7 x -18867539-47 x -2810059-229 x -576737-329 x -401437-1603 x -82391-1753 x -75341-10763 x -12271


How do I find the factor combinations of the number 132,072,773?

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 132,072,773, 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.

1 132,072,773
-1 -132,072,773

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 132,072,773.

Example:
1 x 132,072,773 = 132,072,773
and
-1 x -132,072,773 = 132,072,773
Notice both answers equal 132,072,773

With that explanation out of the way, let's continue. Next, we take the number 132,072,773 and divide it by 2:

132,072,773 ÷ 2 = 66,036,386.5

If the quotient is a whole number, then 2 and 66,036,386.5 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:

1 132,072,773
-1 -132,072,773

Now, we try dividing 132,072,773 by 3:

132,072,773 ÷ 3 = 44,024,257.6667

If the quotient is a whole number, then 3 and 44,024,257.6667 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:

1 132,072,773
-1 -132,072,773

Let's try dividing by 4:

132,072,773 ÷ 4 = 33,018,193.25

If the quotient is a whole number, then 4 and 33,018,193.25 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:

1 132,072,773
-1 132,072,773
Keep dividing by the next highest number until you cannot divide anymore.

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

17472293291,6031,75310,76312,27175,34182,391401,437576,7372,810,05918,867,539132,072,773
-1-7-47-229-329-1,603-1,753-10,763-12,271-75,341-82,391-401,437-576,737-2,810,059-18,867,539-132,072,773

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