Q: What are the factor combinations of the number 24,024,553?

 A:
Positive:   1 x 240245537 x 343207917 x 141320949 x 490297119 x 201887151 x 159103191 x 125783833 x 288411057 x 227291337 x 179692567 x 93593247 x 7399
Negative: -1 x -24024553-7 x -3432079-17 x -1413209-49 x -490297-119 x -201887-151 x -159103-191 x -125783-833 x -28841-1057 x -22729-1337 x -17969-2567 x -9359-3247 x -7399


How do I find the factor combinations of the number 24,024,553?

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 24,024,553, 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 24,024,553
-1 -24,024,553

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 24,024,553.

Example:
1 x 24,024,553 = 24,024,553
and
-1 x -24,024,553 = 24,024,553
Notice both answers equal 24,024,553

With that explanation out of the way, let's continue. Next, we take the number 24,024,553 and divide it by 2:

24,024,553 ÷ 2 = 12,012,276.5

If the quotient is a whole number, then 2 and 12,012,276.5 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 24,024,553
-1 -24,024,553

Now, we try dividing 24,024,553 by 3:

24,024,553 ÷ 3 = 8,008,184.3333

If the quotient is a whole number, then 3 and 8,008,184.3333 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 24,024,553
-1 -24,024,553

Let's try dividing by 4:

24,024,553 ÷ 4 = 6,006,138.25

If the quotient is a whole number, then 4 and 6,006,138.25 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 24,024,553
-1 24,024,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491191511918331,0571,3372,5673,2477,3999,35917,96922,72928,841125,783159,103201,887490,2971,413,2093,432,07924,024,553
-1-7-17-49-119-151-191-833-1,057-1,337-2,567-3,247-7,399-9,359-17,969-22,729-28,841-125,783-159,103-201,887-490,297-1,413,209-3,432,079-24,024,553

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