Q: What are the factor combinations of the number 24,534,643?

 A:
Positive:   1 x 245346437 x 350494919 x 129129749 x 50070773 x 336091133 x 184471361 x 67963511 x 48013931 x 263531387 x 176892527 x 97093577 x 6859
Negative: -1 x -24534643-7 x -3504949-19 x -1291297-49 x -500707-73 x -336091-133 x -184471-361 x -67963-511 x -48013-931 x -26353-1387 x -17689-2527 x -9709-3577 x -6859


How do I find the factor combinations of the number 24,534,643?

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 24,534,643, 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 24,534,643
-1 -24,534,643

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 24,534,643.

Example:
1 x 24,534,643 = 24,534,643
and
-1 x -24,534,643 = 24,534,643
Notice both answers equal 24,534,643

With that explanation out of the way, let's continue. Next, we take the number 24,534,643 and divide it by 2:

24,534,643 ÷ 2 = 12,267,321.5

If the quotient is a whole number, then 2 and 12,267,321.5 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 24,534,643
-1 -24,534,643

Now, we try dividing 24,534,643 by 3:

24,534,643 ÷ 3 = 8,178,214.3333

If the quotient is a whole number, then 3 and 8,178,214.3333 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 24,534,643
-1 -24,534,643

Let's try dividing by 4:

24,534,643 ÷ 4 = 6,133,660.75

If the quotient is a whole number, then 4 and 6,133,660.75 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 24,534,643
-1 24,534,643
Keep dividing by the next highest number until you cannot divide anymore.

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

171949731333615119311,3872,5273,5776,8599,70917,68926,35348,01367,963184,471336,091500,7071,291,2973,504,94924,534,643
-1-7-19-49-73-133-361-511-931-1,387-2,527-3,577-6,859-9,709-17,689-26,353-48,013-67,963-184,471-336,091-500,707-1,291,297-3,504,949-24,534,643

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