Q: What are the factor combinations of the number 245,414,521?

 A:
Positive:   1 x 24541452111 x 22310411239 x 1026839277 x 885973337 x 7282332629 x 933493047 x 805433707 x 66203
Negative: -1 x -245414521-11 x -22310411-239 x -1026839-277 x -885973-337 x -728233-2629 x -93349-3047 x -80543-3707 x -66203


How do I find the factor combinations of the number 245,414,521?

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 245,414,521, 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.

1 245,414,521
-1 -245,414,521

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 245,414,521.

Example:
1 x 245,414,521 = 245,414,521
and
-1 x -245,414,521 = 245,414,521
Notice both answers equal 245,414,521

With that explanation out of the way, let's continue. Next, we take the number 245,414,521 and divide it by 2:

245,414,521 ÷ 2 = 122,707,260.5

If the quotient is a whole number, then 2 and 122,707,260.5 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:

1 245,414,521
-1 -245,414,521

Now, we try dividing 245,414,521 by 3:

245,414,521 ÷ 3 = 81,804,840.3333

If the quotient is a whole number, then 3 and 81,804,840.3333 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:

1 245,414,521
-1 -245,414,521

Let's try dividing by 4:

245,414,521 ÷ 4 = 61,353,630.25

If the quotient is a whole number, then 4 and 61,353,630.25 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:

1 245,414,521
-1 245,414,521
Keep dividing by the next highest number until you cannot divide anymore.

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

1112392773372,6293,0473,70766,20380,54393,349728,233885,9731,026,83922,310,411245,414,521
-1-11-239-277-337-2,629-3,047-3,707-66,203-80,543-93,349-728,233-885,973-1,026,839-22,310,411-245,414,521

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