Q: What are the factor combinations of the number 15,724,031?

 A:
Positive:   1 x 1572403117 x 92494359 x 26650961 x 257771257 x 611831003 x 156771037 x 151633599 x 4369
Negative: -1 x -15724031-17 x -924943-59 x -266509-61 x -257771-257 x -61183-1003 x -15677-1037 x -15163-3599 x -4369


How do I find the factor combinations of the number 15,724,031?

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 15,724,031, 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 15,724,031
-1 -15,724,031

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 15,724,031.

Example:
1 x 15,724,031 = 15,724,031
and
-1 x -15,724,031 = 15,724,031
Notice both answers equal 15,724,031

With that explanation out of the way, let's continue. Next, we take the number 15,724,031 and divide it by 2:

15,724,031 ÷ 2 = 7,862,015.5

If the quotient is a whole number, then 2 and 7,862,015.5 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 15,724,031
-1 -15,724,031

Now, we try dividing 15,724,031 by 3:

15,724,031 ÷ 3 = 5,241,343.6667

If the quotient is a whole number, then 3 and 5,241,343.6667 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 15,724,031
-1 -15,724,031

Let's try dividing by 4:

15,724,031 ÷ 4 = 3,931,007.75

If the quotient is a whole number, then 4 and 3,931,007.75 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 15,724,031
-1 15,724,031
Keep dividing by the next highest number until you cannot divide anymore.

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

11759612571,0031,0373,5994,36915,16315,67761,183257,771266,509924,94315,724,031
-1-17-59-61-257-1,003-1,037-3,599-4,369-15,163-15,677-61,183-257,771-266,509-924,943-15,724,031

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