Q: What are the factor combinations of the number 74,442,145?

 A:
Positive:   1 x 744421455 x 1488842923 x 3236615115 x 647323139 x 535555695 x 1071113197 x 232854657 x 15985
Negative: -1 x -74442145-5 x -14888429-23 x -3236615-115 x -647323-139 x -535555-695 x -107111-3197 x -23285-4657 x -15985


How do I find the factor combinations of the number 74,442,145?

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 74,442,145, 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 74,442,145
-1 -74,442,145

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 74,442,145.

Example:
1 x 74,442,145 = 74,442,145
and
-1 x -74,442,145 = 74,442,145
Notice both answers equal 74,442,145

With that explanation out of the way, let's continue. Next, we take the number 74,442,145 and divide it by 2:

74,442,145 ÷ 2 = 37,221,072.5

If the quotient is a whole number, then 2 and 37,221,072.5 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 74,442,145
-1 -74,442,145

Now, we try dividing 74,442,145 by 3:

74,442,145 ÷ 3 = 24,814,048.3333

If the quotient is a whole number, then 3 and 24,814,048.3333 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 74,442,145
-1 -74,442,145

Let's try dividing by 4:

74,442,145 ÷ 4 = 18,610,536.25

If the quotient is a whole number, then 4 and 18,610,536.25 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 74,442,145
-1 74,442,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151396953,1974,65715,98523,285107,111535,555647,3233,236,61514,888,42974,442,145
-1-5-23-115-139-695-3,197-4,657-15,985-23,285-107,111-535,555-647,323-3,236,615-14,888,429-74,442,145

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