Q: What are the factor combinations of the number 45,632,167?

 A:
Positive:   1 x 456321677 x 651888119 x 240169329 x 1573523133 x 343099203 x 224789551 x 828173857 x 11831
Negative: -1 x -45632167-7 x -6518881-19 x -2401693-29 x -1573523-133 x -343099-203 x -224789-551 x -82817-3857 x -11831


How do I find the factor combinations of the number 45,632,167?

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 45,632,167, 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 45,632,167
-1 -45,632,167

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 45,632,167.

Example:
1 x 45,632,167 = 45,632,167
and
-1 x -45,632,167 = 45,632,167
Notice both answers equal 45,632,167

With that explanation out of the way, let's continue. Next, we take the number 45,632,167 and divide it by 2:

45,632,167 ÷ 2 = 22,816,083.5

If the quotient is a whole number, then 2 and 22,816,083.5 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 45,632,167
-1 -45,632,167

Now, we try dividing 45,632,167 by 3:

45,632,167 ÷ 3 = 15,210,722.3333

If the quotient is a whole number, then 3 and 15,210,722.3333 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 45,632,167
-1 -45,632,167

Let's try dividing by 4:

45,632,167 ÷ 4 = 11,408,041.75

If the quotient is a whole number, then 4 and 11,408,041.75 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 45,632,167
-1 45,632,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1719291332035513,85711,83182,817224,789343,0991,573,5232,401,6936,518,88145,632,167
-1-7-19-29-133-203-551-3,857-11,831-82,817-224,789-343,099-1,573,523-2,401,693-6,518,881-45,632,167

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