Q: What are the factor combinations of the number 24,402,455?

 A:
Positive:   1 x 244024555 x 48804917 x 348606511 x 221840535 x 69721355 x 44368177 x 316915241 x 101255263 x 92785385 x 633831205 x 202511315 x 185571687 x 144651841 x 132552651 x 92052893 x 8435
Negative: -1 x -24402455-5 x -4880491-7 x -3486065-11 x -2218405-35 x -697213-55 x -443681-77 x -316915-241 x -101255-263 x -92785-385 x -63383-1205 x -20251-1315 x -18557-1687 x -14465-1841 x -13255-2651 x -9205-2893 x -8435


How do I find the factor combinations of the number 24,402,455?

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 24,402,455, 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 24,402,455
-1 -24,402,455

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 24,402,455.

Example:
1 x 24,402,455 = 24,402,455
and
-1 x -24,402,455 = 24,402,455
Notice both answers equal 24,402,455

With that explanation out of the way, let's continue. Next, we take the number 24,402,455 and divide it by 2:

24,402,455 ÷ 2 = 12,201,227.5

If the quotient is a whole number, then 2 and 12,201,227.5 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 24,402,455
-1 -24,402,455

Now, we try dividing 24,402,455 by 3:

24,402,455 ÷ 3 = 8,134,151.6667

If the quotient is a whole number, then 3 and 8,134,151.6667 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 24,402,455
-1 -24,402,455

Let's try dividing by 4:

24,402,455 ÷ 4 = 6,100,613.75

If the quotient is a whole number, then 4 and 6,100,613.75 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 24,402,455
-1 24,402,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555772412633851,2051,3151,6871,8412,6512,8938,4359,20513,25514,46518,55720,25163,38392,785101,255316,915443,681697,2132,218,4053,486,0654,880,49124,402,455
-1-5-7-11-35-55-77-241-263-385-1,205-1,315-1,687-1,841-2,651-2,893-8,435-9,205-13,255-14,465-18,557-20,251-63,383-92,785-101,255-316,915-443,681-697,213-2,218,405-3,486,065-4,880,491-24,402,455

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