Q: What are the factor combinations of the number 131,424,035?

 A:
Positive:   1 x 1314240355 x 2628480731 x 4239485155 x 847897277 x 4744551385 x 948913061 x 429358587 x 15305
Negative: -1 x -131424035-5 x -26284807-31 x -4239485-155 x -847897-277 x -474455-1385 x -94891-3061 x -42935-8587 x -15305


How do I find the factor combinations of the number 131,424,035?

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 131,424,035, 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.

1 131,424,035
-1 -131,424,035

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 131,424,035.

Example:
1 x 131,424,035 = 131,424,035
and
-1 x -131,424,035 = 131,424,035
Notice both answers equal 131,424,035

With that explanation out of the way, let's continue. Next, we take the number 131,424,035 and divide it by 2:

131,424,035 ÷ 2 = 65,712,017.5

If the quotient is a whole number, then 2 and 65,712,017.5 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:

1 131,424,035
-1 -131,424,035

Now, we try dividing 131,424,035 by 3:

131,424,035 ÷ 3 = 43,808,011.6667

If the quotient is a whole number, then 3 and 43,808,011.6667 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:

1 131,424,035
-1 -131,424,035

Let's try dividing by 4:

131,424,035 ÷ 4 = 32,856,008.75

If the quotient is a whole number, then 4 and 32,856,008.75 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:

1 131,424,035
-1 131,424,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552771,3853,0618,58715,30542,93594,891474,455847,8974,239,48526,284,807131,424,035
-1-5-31-155-277-1,385-3,061-8,587-15,305-42,935-94,891-474,455-847,897-4,239,485-26,284,807-131,424,035

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