Q: What are the factor combinations of the number 245,414,525?

 A:
Positive:   1 x 2454145255 x 4908290525 x 981658137 x 6632825185 x 1326565925 x 265313
Negative: -1 x -245414525-5 x -49082905-25 x -9816581-37 x -6632825-185 x -1326565-925 x -265313


How do I find the factor combinations of the number 245,414,525?

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 245,414,525, 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.

1 245,414,525
-1 -245,414,525

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 245,414,525.

Example:
1 x 245,414,525 = 245,414,525
and
-1 x -245,414,525 = 245,414,525
Notice both answers equal 245,414,525

With that explanation out of the way, let's continue. Next, we take the number 245,414,525 and divide it by 2:

245,414,525 ÷ 2 = 122,707,262.5

If the quotient is a whole number, then 2 and 122,707,262.5 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:

1 245,414,525
-1 -245,414,525

Now, we try dividing 245,414,525 by 3:

245,414,525 ÷ 3 = 81,804,841.6667

If the quotient is a whole number, then 3 and 81,804,841.6667 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:

1 245,414,525
-1 -245,414,525

Let's try dividing by 4:

245,414,525 ÷ 4 = 61,353,631.25

If the quotient is a whole number, then 4 and 61,353,631.25 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:

1 245,414,525
-1 245,414,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152537185925265,3131,326,5656,632,8259,816,58149,082,905245,414,525
-1-5-25-37-185-925-265,313-1,326,565-6,632,825-9,816,581-49,082,905-245,414,525

More Examples

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