Q: What are the factor combinations of the number 5,361,545?

 A:
Positive:   1 x 53615455 x 10723097 x 76593517 x 31538535 x 15318785 x 63077119 x 45055595 x 9011
Negative: -1 x -5361545-5 x -1072309-7 x -765935-17 x -315385-35 x -153187-85 x -63077-119 x -45055-595 x -9011


How do I find the factor combinations of the number 5,361,545?

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 5,361,545, 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 5,361,545
-1 -5,361,545

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 5,361,545.

Example:
1 x 5,361,545 = 5,361,545
and
-1 x -5,361,545 = 5,361,545
Notice both answers equal 5,361,545

With that explanation out of the way, let's continue. Next, we take the number 5,361,545 and divide it by 2:

5,361,545 ÷ 2 = 2,680,772.5

If the quotient is a whole number, then 2 and 2,680,772.5 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 5,361,545
-1 -5,361,545

Now, we try dividing 5,361,545 by 3:

5,361,545 ÷ 3 = 1,787,181.6667

If the quotient is a whole number, then 3 and 1,787,181.6667 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 5,361,545
-1 -5,361,545

Let's try dividing by 4:

5,361,545 ÷ 4 = 1,340,386.25

If the quotient is a whole number, then 4 and 1,340,386.25 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 5,361,545
-1 5,361,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195959,01145,05563,077153,187315,385765,9351,072,3095,361,545
-1-5-7-17-35-85-119-595-9,011-45,055-63,077-153,187-315,385-765,935-1,072,309-5,361,545

More Examples

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