Q: What are the factor combinations of the number 24,120,671?

 A:
Positive:   1 x 2412067117 x 141886319 x 126950953 x 455107323 x 74677901 x 267711007 x 239531409 x 17119
Negative: -1 x -24120671-17 x -1418863-19 x -1269509-53 x -455107-323 x -74677-901 x -26771-1007 x -23953-1409 x -17119


How do I find the factor combinations of the number 24,120,671?

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 24,120,671, 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 24,120,671
-1 -24,120,671

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 24,120,671.

Example:
1 x 24,120,671 = 24,120,671
and
-1 x -24,120,671 = 24,120,671
Notice both answers equal 24,120,671

With that explanation out of the way, let's continue. Next, we take the number 24,120,671 and divide it by 2:

24,120,671 ÷ 2 = 12,060,335.5

If the quotient is a whole number, then 2 and 12,060,335.5 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 24,120,671
-1 -24,120,671

Now, we try dividing 24,120,671 by 3:

24,120,671 ÷ 3 = 8,040,223.6667

If the quotient is a whole number, then 3 and 8,040,223.6667 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 24,120,671
-1 -24,120,671

Let's try dividing by 4:

24,120,671 ÷ 4 = 6,030,167.75

If the quotient is a whole number, then 4 and 6,030,167.75 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 24,120,671
-1 24,120,671
Keep dividing by the next highest number until you cannot divide anymore.

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

11719533239011,0071,40917,11923,95326,77174,677455,1071,269,5091,418,86324,120,671
-1-17-19-53-323-901-1,007-1,409-17,119-23,953-26,771-74,677-455,107-1,269,509-1,418,863-24,120,671

More Examples

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