Q: What are the factor combinations of the number 24,740,015?

 A:
Positive:   1 x 247400155 x 494800317 x 145529531 x 79806541 x 60341585 x 291059155 x 159613205 x 120683229 x 108035527 x 46945697 x 354951145 x 216071271 x 194652635 x 93893485 x 70993893 x 6355
Negative: -1 x -24740015-5 x -4948003-17 x -1455295-31 x -798065-41 x -603415-85 x -291059-155 x -159613-205 x -120683-229 x -108035-527 x -46945-697 x -35495-1145 x -21607-1271 x -19465-2635 x -9389-3485 x -7099-3893 x -6355


How do I find the factor combinations of the number 24,740,015?

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 24,740,015, 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 24,740,015
-1 -24,740,015

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 24,740,015.

Example:
1 x 24,740,015 = 24,740,015
and
-1 x -24,740,015 = 24,740,015
Notice both answers equal 24,740,015

With that explanation out of the way, let's continue. Next, we take the number 24,740,015 and divide it by 2:

24,740,015 ÷ 2 = 12,370,007.5

If the quotient is a whole number, then 2 and 12,370,007.5 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 24,740,015
-1 -24,740,015

Now, we try dividing 24,740,015 by 3:

24,740,015 ÷ 3 = 8,246,671.6667

If the quotient is a whole number, then 3 and 8,246,671.6667 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 24,740,015
-1 -24,740,015

Let's try dividing by 4:

24,740,015 ÷ 4 = 6,185,003.75

If the quotient is a whole number, then 4 and 6,185,003.75 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 24,740,015
-1 24,740,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15173141851552052295276971,1451,2712,6353,4853,8936,3557,0999,38919,46521,60735,49546,945108,035120,683159,613291,059603,415798,0651,455,2954,948,00324,740,015
-1-5-17-31-41-85-155-205-229-527-697-1,145-1,271-2,635-3,485-3,893-6,355-7,099-9,389-19,465-21,607-35,495-46,945-108,035-120,683-159,613-291,059-603,415-798,065-1,455,295-4,948,003-24,740,015

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