Q: What are the factor combinations of the number 55,142,129?

 A:
Positive:   1 x 551421297 x 787744783 x 664363107 x 515347581 x 94909749 x 73621887 x 621676209 x 8881
Negative: -1 x -55142129-7 x -7877447-83 x -664363-107 x -515347-581 x -94909-749 x -73621-887 x -62167-6209 x -8881


How do I find the factor combinations of the number 55,142,129?

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 55,142,129, 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 55,142,129
-1 -55,142,129

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 55,142,129.

Example:
1 x 55,142,129 = 55,142,129
and
-1 x -55,142,129 = 55,142,129
Notice both answers equal 55,142,129

With that explanation out of the way, let's continue. Next, we take the number 55,142,129 and divide it by 2:

55,142,129 ÷ 2 = 27,571,064.5

If the quotient is a whole number, then 2 and 27,571,064.5 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 55,142,129
-1 -55,142,129

Now, we try dividing 55,142,129 by 3:

55,142,129 ÷ 3 = 18,380,709.6667

If the quotient is a whole number, then 3 and 18,380,709.6667 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 55,142,129
-1 -55,142,129

Let's try dividing by 4:

55,142,129 ÷ 4 = 13,785,532.25

If the quotient is a whole number, then 4 and 13,785,532.25 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 55,142,129
-1 55,142,129
Keep dividing by the next highest number until you cannot divide anymore.

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

17831075817498876,2098,88162,16773,62194,909515,347664,3637,877,44755,142,129
-1-7-83-107-581-749-887-6,209-8,881-62,167-73,621-94,909-515,347-664,363-7,877,447-55,142,129

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,142,129:


Ask a Question