Q: What are the factor combinations of the number 45,164,767?

 A:
Positive:   1 x 4516476717 x 265675119 x 237709367 x 674101323 x 1398291139 x 396531273 x 354792087 x 21641
Negative: -1 x -45164767-17 x -2656751-19 x -2377093-67 x -674101-323 x -139829-1139 x -39653-1273 x -35479-2087 x -21641


How do I find the factor combinations of the number 45,164,767?

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 45,164,767, 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 45,164,767
-1 -45,164,767

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 45,164,767.

Example:
1 x 45,164,767 = 45,164,767
and
-1 x -45,164,767 = 45,164,767
Notice both answers equal 45,164,767

With that explanation out of the way, let's continue. Next, we take the number 45,164,767 and divide it by 2:

45,164,767 ÷ 2 = 22,582,383.5

If the quotient is a whole number, then 2 and 22,582,383.5 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 45,164,767
-1 -45,164,767

Now, we try dividing 45,164,767 by 3:

45,164,767 ÷ 3 = 15,054,922.3333

If the quotient is a whole number, then 3 and 15,054,922.3333 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 45,164,767
-1 -45,164,767

Let's try dividing by 4:

45,164,767 ÷ 4 = 11,291,191.75

If the quotient is a whole number, then 4 and 11,291,191.75 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 45,164,767
-1 45,164,767
Keep dividing by the next highest number until you cannot divide anymore.

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

11719673231,1391,2732,08721,64135,47939,653139,829674,1012,377,0932,656,75145,164,767
-1-17-19-67-323-1,139-1,273-2,087-21,641-35,479-39,653-139,829-674,101-2,377,093-2,656,751-45,164,767

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