Q: What are the factor combinations of the number 45,372,845?

 A:
Positive:   1 x 453728455 x 90745697 x 648183535 x 1296367439 x 1033552195 x 206712953 x 153653073 x 14765
Negative: -1 x -45372845-5 x -9074569-7 x -6481835-35 x -1296367-439 x -103355-2195 x -20671-2953 x -15365-3073 x -14765


How do I find the factor combinations of the number 45,372,845?

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 45,372,845, 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 45,372,845
-1 -45,372,845

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 45,372,845.

Example:
1 x 45,372,845 = 45,372,845
and
-1 x -45,372,845 = 45,372,845
Notice both answers equal 45,372,845

With that explanation out of the way, let's continue. Next, we take the number 45,372,845 and divide it by 2:

45,372,845 ÷ 2 = 22,686,422.5

If the quotient is a whole number, then 2 and 22,686,422.5 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 45,372,845
-1 -45,372,845

Now, we try dividing 45,372,845 by 3:

45,372,845 ÷ 3 = 15,124,281.6667

If the quotient is a whole number, then 3 and 15,124,281.6667 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 45,372,845
-1 -45,372,845

Let's try dividing by 4:

45,372,845 ÷ 4 = 11,343,211.25

If the quotient is a whole number, then 4 and 11,343,211.25 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 45,372,845
-1 45,372,845
Keep dividing by the next highest number until you cannot divide anymore.

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

157354392,1952,9533,07314,76515,36520,671103,3551,296,3676,481,8359,074,56945,372,845
-1-5-7-35-439-2,195-2,953-3,073-14,765-15,365-20,671-103,355-1,296,367-6,481,835-9,074,569-45,372,845

More Examples

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