Q: What are the factor combinations of the number 45,704,545?

 A:
Positive:   1 x 457045455 x 914090941 x 1114745113 x 404465205 x 222949565 x 808931973 x 231654633 x 9865
Negative: -1 x -45704545-5 x -9140909-41 x -1114745-113 x -404465-205 x -222949-565 x -80893-1973 x -23165-4633 x -9865


How do I find the factor combinations of the number 45,704,545?

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 45,704,545, 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 45,704,545
-1 -45,704,545

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 45,704,545.

Example:
1 x 45,704,545 = 45,704,545
and
-1 x -45,704,545 = 45,704,545
Notice both answers equal 45,704,545

With that explanation out of the way, let's continue. Next, we take the number 45,704,545 and divide it by 2:

45,704,545 ÷ 2 = 22,852,272.5

If the quotient is a whole number, then 2 and 22,852,272.5 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 45,704,545
-1 -45,704,545

Now, we try dividing 45,704,545 by 3:

45,704,545 ÷ 3 = 15,234,848.3333

If the quotient is a whole number, then 3 and 15,234,848.3333 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 45,704,545
-1 -45,704,545

Let's try dividing by 4:

45,704,545 ÷ 4 = 11,426,136.25

If the quotient is a whole number, then 4 and 11,426,136.25 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 45,704,545
-1 45,704,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15411132055651,9734,6339,86523,16580,893222,949404,4651,114,7459,140,90945,704,545
-1-5-41-113-205-565-1,973-4,633-9,865-23,165-80,893-222,949-404,465-1,114,745-9,140,909-45,704,545

More Examples

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