Q: What are the factor combinations of the number 45,033,695?

 A:
Positive:   1 x 450336955 x 90067397 x 643338535 x 128667749 x 919055245 x 183811397 x 113435463 x 972651985 x 226872315 x 194532779 x 162053241 x 13895
Negative: -1 x -45033695-5 x -9006739-7 x -6433385-35 x -1286677-49 x -919055-245 x -183811-397 x -113435-463 x -97265-1985 x -22687-2315 x -19453-2779 x -16205-3241 x -13895


How do I find the factor combinations of the number 45,033,695?

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 45,033,695, 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 45,033,695
-1 -45,033,695

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 45,033,695.

Example:
1 x 45,033,695 = 45,033,695
and
-1 x -45,033,695 = 45,033,695
Notice both answers equal 45,033,695

With that explanation out of the way, let's continue. Next, we take the number 45,033,695 and divide it by 2:

45,033,695 ÷ 2 = 22,516,847.5

If the quotient is a whole number, then 2 and 22,516,847.5 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 45,033,695
-1 -45,033,695

Now, we try dividing 45,033,695 by 3:

45,033,695 ÷ 3 = 15,011,231.6667

If the quotient is a whole number, then 3 and 15,011,231.6667 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 45,033,695
-1 -45,033,695

Let's try dividing by 4:

45,033,695 ÷ 4 = 11,258,423.75

If the quotient is a whole number, then 4 and 11,258,423.75 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 45,033,695
-1 45,033,695
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453974631,9852,3152,7793,24113,89516,20519,45322,68797,265113,435183,811919,0551,286,6776,433,3859,006,73945,033,695
-1-5-7-35-49-245-397-463-1,985-2,315-2,779-3,241-13,895-16,205-19,453-22,687-97,265-113,435-183,811-919,055-1,286,677-6,433,385-9,006,739-45,033,695

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