Q: What are the factor combinations of the number 248,237,213?

 A:
Positive:   1 x 2482372137 x 3546245917 x 1460218953 x 4683721119 x 2086027371 x 669103901 x 2755136307 x 39359
Negative: -1 x -248237213-7 x -35462459-17 x -14602189-53 x -4683721-119 x -2086027-371 x -669103-901 x -275513-6307 x -39359


How do I find the factor combinations of the number 248,237,213?

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 248,237,213, 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.

1 248,237,213
-1 -248,237,213

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 248,237,213.

Example:
1 x 248,237,213 = 248,237,213
and
-1 x -248,237,213 = 248,237,213
Notice both answers equal 248,237,213

With that explanation out of the way, let's continue. Next, we take the number 248,237,213 and divide it by 2:

248,237,213 ÷ 2 = 124,118,606.5

If the quotient is a whole number, then 2 and 124,118,606.5 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:

1 248,237,213
-1 -248,237,213

Now, we try dividing 248,237,213 by 3:

248,237,213 ÷ 3 = 82,745,737.6667

If the quotient is a whole number, then 3 and 82,745,737.6667 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:

1 248,237,213
-1 -248,237,213

Let's try dividing by 4:

248,237,213 ÷ 4 = 62,059,303.25

If the quotient is a whole number, then 4 and 62,059,303.25 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:

1 248,237,213
-1 248,237,213
Keep dividing by the next highest number until you cannot divide anymore.

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

1717531193719016,30739,359275,513669,1032,086,0274,683,72114,602,18935,462,459248,237,213
-1-7-17-53-119-371-901-6,307-39,359-275,513-669,103-2,086,027-4,683,721-14,602,189-35,462,459-248,237,213

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