Q: What are the factor combinations of the number 420,412,037?

 A:
Positive:   1 x 42041203773 x 5759069127 x 3310331137 x 3068701331 x 12701279271 x 4534710001 x 4203717399 x 24163
Negative: -1 x -420412037-73 x -5759069-127 x -3310331-137 x -3068701-331 x -1270127-9271 x -45347-10001 x -42037-17399 x -24163


How do I find the factor combinations of the number 420,412,037?

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 420,412,037, 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.

1 420,412,037
-1 -420,412,037

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 420,412,037.

Example:
1 x 420,412,037 = 420,412,037
and
-1 x -420,412,037 = 420,412,037
Notice both answers equal 420,412,037

With that explanation out of the way, let's continue. Next, we take the number 420,412,037 and divide it by 2:

420,412,037 ÷ 2 = 210,206,018.5

If the quotient is a whole number, then 2 and 210,206,018.5 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:

1 420,412,037
-1 -420,412,037

Now, we try dividing 420,412,037 by 3:

420,412,037 ÷ 3 = 140,137,345.6667

If the quotient is a whole number, then 3 and 140,137,345.6667 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:

1 420,412,037
-1 -420,412,037

Let's try dividing by 4:

420,412,037 ÷ 4 = 105,103,009.25

If the quotient is a whole number, then 4 and 105,103,009.25 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:

1 420,412,037
-1 420,412,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1731271373319,27110,00117,39924,16342,03745,3471,270,1273,068,7013,310,3315,759,069420,412,037
-1-73-127-137-331-9,271-10,001-17,399-24,163-42,037-45,347-1,270,127-3,068,701-3,310,331-5,759,069-420,412,037

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 420,412,037:


Ask a Question