Q: What are the factor combinations of the number 14,520,545?

 A:
Positive:   1 x 145205455 x 290410913 x 111696565 x 223393127 x 114335635 x 228671651 x 87951759 x 8255
Negative: -1 x -14520545-5 x -2904109-13 x -1116965-65 x -223393-127 x -114335-635 x -22867-1651 x -8795-1759 x -8255


How do I find the factor combinations of the number 14,520,545?

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 14,520,545, 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 14,520,545
-1 -14,520,545

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 14,520,545.

Example:
1 x 14,520,545 = 14,520,545
and
-1 x -14,520,545 = 14,520,545
Notice both answers equal 14,520,545

With that explanation out of the way, let's continue. Next, we take the number 14,520,545 and divide it by 2:

14,520,545 ÷ 2 = 7,260,272.5

If the quotient is a whole number, then 2 and 7,260,272.5 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 14,520,545
-1 -14,520,545

Now, we try dividing 14,520,545 by 3:

14,520,545 ÷ 3 = 4,840,181.6667

If the quotient is a whole number, then 3 and 4,840,181.6667 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 14,520,545
-1 -14,520,545

Let's try dividing by 4:

14,520,545 ÷ 4 = 3,630,136.25

If the quotient is a whole number, then 4 and 3,630,136.25 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 14,520,545
-1 14,520,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651276351,6511,7598,2558,79522,867114,335223,3931,116,9652,904,10914,520,545
-1-5-13-65-127-635-1,651-1,759-8,255-8,795-22,867-114,335-223,393-1,116,965-2,904,109-14,520,545

More Examples

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