Q: What are the factor combinations of the number 24,013,265?

 A:
Positive:   1 x 240132655 x 480265317 x 141254523 x 104405571 x 33821585 x 282509115 x 208811173 x 138805355 x 67643391 x 61415865 x 277611207 x 198951633 x 147051955 x 122832941 x 81653979 x 6035
Negative: -1 x -24013265-5 x -4802653-17 x -1412545-23 x -1044055-71 x -338215-85 x -282509-115 x -208811-173 x -138805-355 x -67643-391 x -61415-865 x -27761-1207 x -19895-1633 x -14705-1955 x -12283-2941 x -8165-3979 x -6035


How do I find the factor combinations of the number 24,013,265?

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 24,013,265, 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 24,013,265
-1 -24,013,265

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 24,013,265.

Example:
1 x 24,013,265 = 24,013,265
and
-1 x -24,013,265 = 24,013,265
Notice both answers equal 24,013,265

With that explanation out of the way, let's continue. Next, we take the number 24,013,265 and divide it by 2:

24,013,265 ÷ 2 = 12,006,632.5

If the quotient is a whole number, then 2 and 12,006,632.5 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 24,013,265
-1 -24,013,265

Now, we try dividing 24,013,265 by 3:

24,013,265 ÷ 3 = 8,004,421.6667

If the quotient is a whole number, then 3 and 8,004,421.6667 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 24,013,265
-1 -24,013,265

Let's try dividing by 4:

24,013,265 ÷ 4 = 6,003,316.25

If the quotient is a whole number, then 4 and 6,003,316.25 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 24,013,265
-1 24,013,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15172371851151733553918651,2071,6331,9552,9413,9796,0358,16512,28314,70519,89527,76161,41567,643138,805208,811282,509338,2151,044,0551,412,5454,802,65324,013,265
-1-5-17-23-71-85-115-173-355-391-865-1,207-1,633-1,955-2,941-3,979-6,035-8,165-12,283-14,705-19,895-27,761-61,415-67,643-138,805-208,811-282,509-338,215-1,044,055-1,412,545-4,802,653-24,013,265

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