Q: What are the factor combinations of the number 24,401,069?

 A:
Positive:   1 x 244010697 x 348586711 x 221827917 x 143535749 x 49798177 x 316897119 x 205051187 x 130487539 x 45271833 x 292931309 x 186412663 x 9163
Negative: -1 x -24401069-7 x -3485867-11 x -2218279-17 x -1435357-49 x -497981-77 x -316897-119 x -205051-187 x -130487-539 x -45271-833 x -29293-1309 x -18641-2663 x -9163


How do I find the factor combinations of the number 24,401,069?

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 24,401,069, 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 24,401,069
-1 -24,401,069

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 24,401,069.

Example:
1 x 24,401,069 = 24,401,069
and
-1 x -24,401,069 = 24,401,069
Notice both answers equal 24,401,069

With that explanation out of the way, let's continue. Next, we take the number 24,401,069 and divide it by 2:

24,401,069 ÷ 2 = 12,200,534.5

If the quotient is a whole number, then 2 and 12,200,534.5 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 24,401,069
-1 -24,401,069

Now, we try dividing 24,401,069 by 3:

24,401,069 ÷ 3 = 8,133,689.6667

If the quotient is a whole number, then 3 and 8,133,689.6667 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 24,401,069
-1 -24,401,069

Let's try dividing by 4:

24,401,069 ÷ 4 = 6,100,267.25

If the quotient is a whole number, then 4 and 6,100,267.25 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 24,401,069
-1 24,401,069
Keep dividing by the next highest number until you cannot divide anymore.

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

17111749771191875398331,3092,6639,16318,64129,29345,271130,487205,051316,897497,9811,435,3572,218,2793,485,86724,401,069
-1-7-11-17-49-77-119-187-539-833-1,309-2,663-9,163-18,641-29,293-45,271-130,487-205,051-316,897-497,981-1,435,357-2,218,279-3,485,867-24,401,069

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