Q: What are the factor combinations of the number 202,012,345?

 A:
Positive:   1 x 2020123455 x 4040246947 x 4298135235 x 859627503 x 4016151709 x 1182052515 x 803238545 x 23641
Negative: -1 x -202012345-5 x -40402469-47 x -4298135-235 x -859627-503 x -401615-1709 x -118205-2515 x -80323-8545 x -23641


How do I find the factor combinations of the number 202,012,345?

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 202,012,345, 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.

1 202,012,345
-1 -202,012,345

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 202,012,345.

Example:
1 x 202,012,345 = 202,012,345
and
-1 x -202,012,345 = 202,012,345
Notice both answers equal 202,012,345

With that explanation out of the way, let's continue. Next, we take the number 202,012,345 and divide it by 2:

202,012,345 ÷ 2 = 101,006,172.5

If the quotient is a whole number, then 2 and 101,006,172.5 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:

1 202,012,345
-1 -202,012,345

Now, we try dividing 202,012,345 by 3:

202,012,345 ÷ 3 = 67,337,448.3333

If the quotient is a whole number, then 3 and 67,337,448.3333 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:

1 202,012,345
-1 -202,012,345

Let's try dividing by 4:

202,012,345 ÷ 4 = 50,503,086.25

If the quotient is a whole number, then 4 and 50,503,086.25 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:

1 202,012,345
-1 202,012,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15472355031,7092,5158,54523,64180,323118,205401,615859,6274,298,13540,402,469202,012,345
-1-5-47-235-503-1,709-2,515-8,545-23,641-80,323-118,205-401,615-859,627-4,298,135-40,402,469-202,012,345

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 202,012,345:


Ask a Question