Q: What are the factor combinations of the number 55,143,347?

 A:
Positive:   1 x 551433477 x 787762159 x 934633413 x 133519
Negative: -1 x -55143347-7 x -7877621-59 x -934633-413 x -133519


How do I find the factor combinations of the number 55,143,347?

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 55,143,347, 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 55,143,347
-1 -55,143,347

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 55,143,347.

Example:
1 x 55,143,347 = 55,143,347
and
-1 x -55,143,347 = 55,143,347
Notice both answers equal 55,143,347

With that explanation out of the way, let's continue. Next, we take the number 55,143,347 and divide it by 2:

55,143,347 ÷ 2 = 27,571,673.5

If the quotient is a whole number, then 2 and 27,571,673.5 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 55,143,347
-1 -55,143,347

Now, we try dividing 55,143,347 by 3:

55,143,347 ÷ 3 = 18,381,115.6667

If the quotient is a whole number, then 3 and 18,381,115.6667 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 55,143,347
-1 -55,143,347

Let's try dividing by 4:

55,143,347 ÷ 4 = 13,785,836.75

If the quotient is a whole number, then 4 and 13,785,836.75 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 55,143,347
-1 55,143,347
Keep dividing by the next highest number until you cannot divide anymore.

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

1759413133,519934,6337,877,62155,143,347
-1-7-59-413-133,519-934,633-7,877,621-55,143,347

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,143,347:


Ask a Question