Q: What are the factor combinations of the number 40,420,301?

 A:
Positive:   1 x 4042030141 x 98586143 x 940007101 x 400201227 x 1780631763 x 229274141 x 97614343 x 9307
Negative: -1 x -40420301-41 x -985861-43 x -940007-101 x -400201-227 x -178063-1763 x -22927-4141 x -9761-4343 x -9307


How do I find the factor combinations of the number 40,420,301?

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 40,420,301, 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 40,420,301
-1 -40,420,301

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 40,420,301.

Example:
1 x 40,420,301 = 40,420,301
and
-1 x -40,420,301 = 40,420,301
Notice both answers equal 40,420,301

With that explanation out of the way, let's continue. Next, we take the number 40,420,301 and divide it by 2:

40,420,301 ÷ 2 = 20,210,150.5

If the quotient is a whole number, then 2 and 20,210,150.5 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 40,420,301
-1 -40,420,301

Now, we try dividing 40,420,301 by 3:

40,420,301 ÷ 3 = 13,473,433.6667

If the quotient is a whole number, then 3 and 13,473,433.6667 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 40,420,301
-1 -40,420,301

Let's try dividing by 4:

40,420,301 ÷ 4 = 10,105,075.25

If the quotient is a whole number, then 4 and 10,105,075.25 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 40,420,301
-1 40,420,301
Keep dividing by the next highest number until you cannot divide anymore.

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

141431012271,7634,1414,3439,3079,76122,927178,063400,201940,007985,86140,420,301
-1-41-43-101-227-1,763-4,141-4,343-9,307-9,761-22,927-178,063-400,201-940,007-985,861-40,420,301

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,420,301:


Ask a Question