Q: What are the factor combinations of the number 20,022,145?

 A:
Positive:   1 x 200221455 x 400442911 x 182019513 x 154016541 x 48834555 x 36403965 x 308033143 x 140015205 x 97669451 x 44395533 x 37565683 x 29315715 x 280032255 x 88792665 x 75133415 x 5863
Negative: -1 x -20022145-5 x -4004429-11 x -1820195-13 x -1540165-41 x -488345-55 x -364039-65 x -308033-143 x -140015-205 x -97669-451 x -44395-533 x -37565-683 x -29315-715 x -28003-2255 x -8879-2665 x -7513-3415 x -5863


How do I find the factor combinations of the number 20,022,145?

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 20,022,145, 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 20,022,145
-1 -20,022,145

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 20,022,145.

Example:
1 x 20,022,145 = 20,022,145
and
-1 x -20,022,145 = 20,022,145
Notice both answers equal 20,022,145

With that explanation out of the way, let's continue. Next, we take the number 20,022,145 and divide it by 2:

20,022,145 ÷ 2 = 10,011,072.5

If the quotient is a whole number, then 2 and 10,011,072.5 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 20,022,145
-1 -20,022,145

Now, we try dividing 20,022,145 by 3:

20,022,145 ÷ 3 = 6,674,048.3333

If the quotient is a whole number, then 3 and 6,674,048.3333 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 20,022,145
-1 -20,022,145

Let's try dividing by 4:

20,022,145 ÷ 4 = 5,005,536.25

If the quotient is a whole number, then 4 and 5,005,536.25 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 20,022,145
-1 20,022,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511134155651432054515336837152,2552,6653,4155,8637,5138,87928,00329,31537,56544,39597,669140,015308,033364,039488,3451,540,1651,820,1954,004,42920,022,145
-1-5-11-13-41-55-65-143-205-451-533-683-715-2,255-2,665-3,415-5,863-7,513-8,879-28,003-29,315-37,565-44,395-97,669-140,015-308,033-364,039-488,345-1,540,165-1,820,195-4,004,429-20,022,145

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