Q: What are the factor combinations of the number 45,384,565?

 A:
Positive:   1 x 453845655 x 907691329 x 156498543 x 1055455145 x 312997215 x 211091251 x 180815841 x 539651247 x 363951255 x 361634205 x 107936235 x 7279
Negative: -1 x -45384565-5 x -9076913-29 x -1564985-43 x -1055455-145 x -312997-215 x -211091-251 x -180815-841 x -53965-1247 x -36395-1255 x -36163-4205 x -10793-6235 x -7279


How do I find the factor combinations of the number 45,384,565?

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 45,384,565, 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 45,384,565
-1 -45,384,565

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 45,384,565.

Example:
1 x 45,384,565 = 45,384,565
and
-1 x -45,384,565 = 45,384,565
Notice both answers equal 45,384,565

With that explanation out of the way, let's continue. Next, we take the number 45,384,565 and divide it by 2:

45,384,565 ÷ 2 = 22,692,282.5

If the quotient is a whole number, then 2 and 22,692,282.5 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 45,384,565
-1 -45,384,565

Now, we try dividing 45,384,565 by 3:

45,384,565 ÷ 3 = 15,128,188.3333

If the quotient is a whole number, then 3 and 15,128,188.3333 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 45,384,565
-1 -45,384,565

Let's try dividing by 4:

45,384,565 ÷ 4 = 11,346,141.25

If the quotient is a whole number, then 4 and 11,346,141.25 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 45,384,565
-1 45,384,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1529431452152518411,2471,2554,2056,2357,27910,79336,16336,39553,965180,815211,091312,9971,055,4551,564,9859,076,91345,384,565
-1-5-29-43-145-215-251-841-1,247-1,255-4,205-6,235-7,279-10,793-36,163-36,395-53,965-180,815-211,091-312,997-1,055,455-1,564,985-9,076,913-45,384,565

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