Q: What are the factor combinations of the number 55,500,613?

 A:
Positive:   1 x 555006137 x 7928659167 x 332339197 x 281729241 x 2302931169 x 474771379 x 402471687 x 32899
Negative: -1 x -55500613-7 x -7928659-167 x -332339-197 x -281729-241 x -230293-1169 x -47477-1379 x -40247-1687 x -32899


How do I find the factor combinations of the number 55,500,613?

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 55,500,613, 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 55,500,613
-1 -55,500,613

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 55,500,613.

Example:
1 x 55,500,613 = 55,500,613
and
-1 x -55,500,613 = 55,500,613
Notice both answers equal 55,500,613

With that explanation out of the way, let's continue. Next, we take the number 55,500,613 and divide it by 2:

55,500,613 ÷ 2 = 27,750,306.5

If the quotient is a whole number, then 2 and 27,750,306.5 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 55,500,613
-1 -55,500,613

Now, we try dividing 55,500,613 by 3:

55,500,613 ÷ 3 = 18,500,204.3333

If the quotient is a whole number, then 3 and 18,500,204.3333 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 55,500,613
-1 -55,500,613

Let's try dividing by 4:

55,500,613 ÷ 4 = 13,875,153.25

If the quotient is a whole number, then 4 and 13,875,153.25 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 55,500,613
-1 55,500,613
Keep dividing by the next highest number until you cannot divide anymore.

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

171671972411,1691,3791,68732,89940,24747,477230,293281,729332,3397,928,65955,500,613
-1-7-167-197-241-1,169-1,379-1,687-32,899-40,247-47,477-230,293-281,729-332,339-7,928,659-55,500,613

More Examples

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