Q: What are the factor combinations of the number 42,445,445?

 A:
Positive:   1 x 424454455 x 84890897 x 606363535 x 1212727293 x 1448651465 x 289732051 x 206954139 x 10255
Negative: -1 x -42445445-5 x -8489089-7 x -6063635-35 x -1212727-293 x -144865-1465 x -28973-2051 x -20695-4139 x -10255


How do I find the factor combinations of the number 42,445,445?

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 42,445,445, 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 42,445,445
-1 -42,445,445

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 42,445,445.

Example:
1 x 42,445,445 = 42,445,445
and
-1 x -42,445,445 = 42,445,445
Notice both answers equal 42,445,445

With that explanation out of the way, let's continue. Next, we take the number 42,445,445 and divide it by 2:

42,445,445 ÷ 2 = 21,222,722.5

If the quotient is a whole number, then 2 and 21,222,722.5 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 42,445,445
-1 -42,445,445

Now, we try dividing 42,445,445 by 3:

42,445,445 ÷ 3 = 14,148,481.6667

If the quotient is a whole number, then 3 and 14,148,481.6667 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 42,445,445
-1 -42,445,445

Let's try dividing by 4:

42,445,445 ÷ 4 = 10,611,361.25

If the quotient is a whole number, then 4 and 10,611,361.25 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 42,445,445
-1 42,445,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157352931,4652,0514,13910,25520,69528,973144,8651,212,7276,063,6358,489,08942,445,445
-1-5-7-35-293-1,465-2,051-4,139-10,255-20,695-28,973-144,865-1,212,727-6,063,635-8,489,089-42,445,445

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,445,445:


Ask a Question