Q: What are the factor combinations of the number 245,210,023?

 A:
Positive:   1 x 24521002317 x 144241192423 x 1012015953 x 41191
Negative: -1 x -245210023-17 x -14424119-2423 x -101201-5953 x -41191


How do I find the factor combinations of the number 245,210,023?

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 245,210,023, 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.

1 245,210,023
-1 -245,210,023

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 245,210,023.

Example:
1 x 245,210,023 = 245,210,023
and
-1 x -245,210,023 = 245,210,023
Notice both answers equal 245,210,023

With that explanation out of the way, let's continue. Next, we take the number 245,210,023 and divide it by 2:

245,210,023 ÷ 2 = 122,605,011.5

If the quotient is a whole number, then 2 and 122,605,011.5 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:

1 245,210,023
-1 -245,210,023

Now, we try dividing 245,210,023 by 3:

245,210,023 ÷ 3 = 81,736,674.3333

If the quotient is a whole number, then 3 and 81,736,674.3333 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:

1 245,210,023
-1 -245,210,023

Let's try dividing by 4:

245,210,023 ÷ 4 = 61,302,505.75

If the quotient is a whole number, then 4 and 61,302,505.75 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:

1 245,210,023
-1 245,210,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1172,4235,95341,191101,20114,424,119245,210,023
-1-17-2,423-5,953-41,191-101,201-14,424,119-245,210,023

More Examples

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