Q: What are the factor combinations of the number 20,142,265?

 A:
Positive:   1 x 201422655 x 402845311 x 183111513 x 154940555 x 36622365 x 309881121 x 166465143 x 140855169 x 119185197 x 102245605 x 33293715 x 28171845 x 23837985 x 204491573 x 128051859 x 108352167 x 92952561 x 7865
Negative: -1 x -20142265-5 x -4028453-11 x -1831115-13 x -1549405-55 x -366223-65 x -309881-121 x -166465-143 x -140855-169 x -119185-197 x -102245-605 x -33293-715 x -28171-845 x -23837-985 x -20449-1573 x -12805-1859 x -10835-2167 x -9295-2561 x -7865


How do I find the factor combinations of the number 20,142,265?

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 20,142,265, 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 20,142,265
-1 -20,142,265

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 20,142,265.

Example:
1 x 20,142,265 = 20,142,265
and
-1 x -20,142,265 = 20,142,265
Notice both answers equal 20,142,265

With that explanation out of the way, let's continue. Next, we take the number 20,142,265 and divide it by 2:

20,142,265 ÷ 2 = 10,071,132.5

If the quotient is a whole number, then 2 and 10,071,132.5 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 20,142,265
-1 -20,142,265

Now, we try dividing 20,142,265 by 3:

20,142,265 ÷ 3 = 6,714,088.3333

If the quotient is a whole number, then 3 and 6,714,088.3333 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 20,142,265
-1 -20,142,265

Let's try dividing by 4:

20,142,265 ÷ 4 = 5,035,566.25

If the quotient is a whole number, then 4 and 5,035,566.25 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 20,142,265
-1 20,142,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651211431691976057158459851,5731,8592,1672,5617,8659,29510,83512,80520,44923,83728,17133,293102,245119,185140,855166,465309,881366,2231,549,4051,831,1154,028,45320,142,265
-1-5-11-13-55-65-121-143-169-197-605-715-845-985-1,573-1,859-2,167-2,561-7,865-9,295-10,835-12,805-20,449-23,837-28,171-33,293-102,245-119,185-140,855-166,465-309,881-366,223-1,549,405-1,831,115-4,028,453-20,142,265

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