Q: What are the factor combinations of the number 5,600,045?

 A:
Positive:   1 x 56000455 x 112000911 x 50909529 x 19310555 x 101819145 x 38621319 x 175551595 x 3511
Negative: -1 x -5600045-5 x -1120009-11 x -509095-29 x -193105-55 x -101819-145 x -38621-319 x -17555-1595 x -3511


How do I find the factor combinations of the number 5,600,045?

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 5,600,045, 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 5,600,045
-1 -5,600,045

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 5,600,045.

Example:
1 x 5,600,045 = 5,600,045
and
-1 x -5,600,045 = 5,600,045
Notice both answers equal 5,600,045

With that explanation out of the way, let's continue. Next, we take the number 5,600,045 and divide it by 2:

5,600,045 ÷ 2 = 2,800,022.5

If the quotient is a whole number, then 2 and 2,800,022.5 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 5,600,045
-1 -5,600,045

Now, we try dividing 5,600,045 by 3:

5,600,045 ÷ 3 = 1,866,681.6667

If the quotient is a whole number, then 3 and 1,866,681.6667 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 5,600,045
-1 -5,600,045

Let's try dividing by 4:

5,600,045 ÷ 4 = 1,400,011.25

If the quotient is a whole number, then 4 and 1,400,011.25 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 5,600,045
-1 5,600,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,5953,51117,55538,621101,819193,105509,0951,120,0095,600,045
-1-5-11-29-55-145-319-1,595-3,511-17,555-38,621-101,819-193,105-509,095-1,120,009-5,600,045

More Examples

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