Q: What are the factor combinations of the number 20,035,345?

 A:
Positive:   1 x 200353455 x 400706911 x 182139555 x 36427967 x 299035335 x 59807737 x 271853685 x 5437
Negative: -1 x -20035345-5 x -4007069-11 x -1821395-55 x -364279-67 x -299035-335 x -59807-737 x -27185-3685 x -5437


How do I find the factor combinations of the number 20,035,345?

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 20,035,345, 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 20,035,345
-1 -20,035,345

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 20,035,345.

Example:
1 x 20,035,345 = 20,035,345
and
-1 x -20,035,345 = 20,035,345
Notice both answers equal 20,035,345

With that explanation out of the way, let's continue. Next, we take the number 20,035,345 and divide it by 2:

20,035,345 ÷ 2 = 10,017,672.5

If the quotient is a whole number, then 2 and 10,017,672.5 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 20,035,345
-1 -20,035,345

Now, we try dividing 20,035,345 by 3:

20,035,345 ÷ 3 = 6,678,448.3333

If the quotient is a whole number, then 3 and 6,678,448.3333 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 20,035,345
-1 -20,035,345

Let's try dividing by 4:

20,035,345 ÷ 4 = 5,008,836.25

If the quotient is a whole number, then 4 and 5,008,836.25 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 20,035,345
-1 20,035,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,6855,43727,18559,807299,035364,2791,821,3954,007,06920,035,345
-1-5-11-55-67-335-737-3,685-5,437-27,185-59,807-299,035-364,279-1,821,395-4,007,069-20,035,345

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