Q: What are the factor combinations of the number 24,650,425?

 A:
Positive:   1 x 246504255 x 493008517 x 145002525 x 98601731 x 79517585 x 290005155 x 159035425 x 58001527 x 46775775 x 318071871 x 131752635 x 9355
Negative: -1 x -24650425-5 x -4930085-17 x -1450025-25 x -986017-31 x -795175-85 x -290005-155 x -159035-425 x -58001-527 x -46775-775 x -31807-1871 x -13175-2635 x -9355


How do I find the factor combinations of the number 24,650,425?

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 24,650,425, 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 24,650,425
-1 -24,650,425

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 24,650,425.

Example:
1 x 24,650,425 = 24,650,425
and
-1 x -24,650,425 = 24,650,425
Notice both answers equal 24,650,425

With that explanation out of the way, let's continue. Next, we take the number 24,650,425 and divide it by 2:

24,650,425 ÷ 2 = 12,325,212.5

If the quotient is a whole number, then 2 and 12,325,212.5 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 24,650,425
-1 -24,650,425

Now, we try dividing 24,650,425 by 3:

24,650,425 ÷ 3 = 8,216,808.3333

If the quotient is a whole number, then 3 and 8,216,808.3333 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 24,650,425
-1 -24,650,425

Let's try dividing by 4:

24,650,425 ÷ 4 = 6,162,606.25

If the quotient is a whole number, then 4 and 6,162,606.25 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 24,650,425
-1 24,650,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851554255277751,8712,6359,35513,17531,80746,77558,001159,035290,005795,175986,0171,450,0254,930,08524,650,425
-1-5-17-25-31-85-155-425-527-775-1,871-2,635-9,355-13,175-31,807-46,775-58,001-159,035-290,005-795,175-986,017-1,450,025-4,930,085-24,650,425

More Examples

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