Q: What are the factor combinations of the number 24,621,625?

 A:
Positive:   1 x 246216255 x 49243257 x 351737519 x 129587525 x 98486535 x 70347595 x 259175125 x 196973133 x 185125175 x 140695475 x 51835665 x 37025875 x 281391481 x 166252375 x 103673325 x 7405
Negative: -1 x -24621625-5 x -4924325-7 x -3517375-19 x -1295875-25 x -984865-35 x -703475-95 x -259175-125 x -196973-133 x -185125-175 x -140695-475 x -51835-665 x -37025-875 x -28139-1481 x -16625-2375 x -10367-3325 x -7405


How do I find the factor combinations of the number 24,621,625?

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 24,621,625, 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 24,621,625
-1 -24,621,625

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 24,621,625.

Example:
1 x 24,621,625 = 24,621,625
and
-1 x -24,621,625 = 24,621,625
Notice both answers equal 24,621,625

With that explanation out of the way, let's continue. Next, we take the number 24,621,625 and divide it by 2:

24,621,625 ÷ 2 = 12,310,812.5

If the quotient is a whole number, then 2 and 12,310,812.5 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 24,621,625
-1 -24,621,625

Now, we try dividing 24,621,625 by 3:

24,621,625 ÷ 3 = 8,207,208.3333

If the quotient is a whole number, then 3 and 8,207,208.3333 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 24,621,625
-1 -24,621,625

Let's try dividing by 4:

24,621,625 ÷ 4 = 6,155,406.25

If the quotient is a whole number, then 4 and 6,155,406.25 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 24,621,625
-1 24,621,625
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951251331754756658751,4812,3753,3257,40510,36716,62528,13937,02551,835140,695185,125196,973259,175703,475984,8651,295,8753,517,3754,924,32524,621,625
-1-5-7-19-25-35-95-125-133-175-475-665-875-1,481-2,375-3,325-7,405-10,367-16,625-28,139-37,025-51,835-140,695-185,125-196,973-259,175-703,475-984,865-1,295,875-3,517,375-4,924,325-24,621,625

More Examples

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