Q: What are the factor combinations of the number 24,710,465?

 A:
Positive:   1 x 247104655 x 494209313 x 190080529 x 85208565 x 380161145 x 170417377 x 655451885 x 13109
Negative: -1 x -24710465-5 x -4942093-13 x -1900805-29 x -852085-65 x -380161-145 x -170417-377 x -65545-1885 x -13109


How do I find the factor combinations of the number 24,710,465?

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 24,710,465, 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 24,710,465
-1 -24,710,465

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 24,710,465.

Example:
1 x 24,710,465 = 24,710,465
and
-1 x -24,710,465 = 24,710,465
Notice both answers equal 24,710,465

With that explanation out of the way, let's continue. Next, we take the number 24,710,465 and divide it by 2:

24,710,465 ÷ 2 = 12,355,232.5

If the quotient is a whole number, then 2 and 12,355,232.5 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 24,710,465
-1 -24,710,465

Now, we try dividing 24,710,465 by 3:

24,710,465 ÷ 3 = 8,236,821.6667

If the quotient is a whole number, then 3 and 8,236,821.6667 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 24,710,465
-1 -24,710,465

Let's try dividing by 4:

24,710,465 ÷ 4 = 6,177,616.25

If the quotient is a whole number, then 4 and 6,177,616.25 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 24,710,465
-1 24,710,465
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,88513,10965,545170,417380,161852,0851,900,8054,942,09324,710,465
-1-5-13-29-65-145-377-1,885-13,109-65,545-170,417-380,161-852,085-1,900,805-4,942,093-24,710,465

More Examples

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