Q: What are the factor combinations of the number 42,364,267?

 A:
Positive:   1 x 4236426711 x 385129789 x 476003109 x 388663397 x 106711979 x 432731199 x 353334367 x 9701
Negative: -1 x -42364267-11 x -3851297-89 x -476003-109 x -388663-397 x -106711-979 x -43273-1199 x -35333-4367 x -9701


How do I find the factor combinations of the number 42,364,267?

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 42,364,267, 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 42,364,267
-1 -42,364,267

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 42,364,267.

Example:
1 x 42,364,267 = 42,364,267
and
-1 x -42,364,267 = 42,364,267
Notice both answers equal 42,364,267

With that explanation out of the way, let's continue. Next, we take the number 42,364,267 and divide it by 2:

42,364,267 ÷ 2 = 21,182,133.5

If the quotient is a whole number, then 2 and 21,182,133.5 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 42,364,267
-1 -42,364,267

Now, we try dividing 42,364,267 by 3:

42,364,267 ÷ 3 = 14,121,422.3333

If the quotient is a whole number, then 3 and 14,121,422.3333 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 42,364,267
-1 -42,364,267

Let's try dividing by 4:

42,364,267 ÷ 4 = 10,591,066.75

If the quotient is a whole number, then 4 and 10,591,066.75 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 42,364,267
-1 42,364,267
Keep dividing by the next highest number until you cannot divide anymore.

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

111891093979791,1994,3679,70135,33343,273106,711388,663476,0033,851,29742,364,267
-1-11-89-109-397-979-1,199-4,367-9,701-35,333-43,273-106,711-388,663-476,003-3,851,297-42,364,267

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,364,267:


Ask a Question