Q: What are the factor combinations of the number 40,424,657?

 A:
Positive:   1 x 404246577 x 577495113 x 310958917 x 237792149 x 82499391 x 444227119 x 339703221 x 182917637 x 63461833 x 485291547 x 261313733 x 10829
Negative: -1 x -40424657-7 x -5774951-13 x -3109589-17 x -2377921-49 x -824993-91 x -444227-119 x -339703-221 x -182917-637 x -63461-833 x -48529-1547 x -26131-3733 x -10829


How do I find the factor combinations of the number 40,424,657?

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 40,424,657, 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 40,424,657
-1 -40,424,657

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 40,424,657.

Example:
1 x 40,424,657 = 40,424,657
and
-1 x -40,424,657 = 40,424,657
Notice both answers equal 40,424,657

With that explanation out of the way, let's continue. Next, we take the number 40,424,657 and divide it by 2:

40,424,657 ÷ 2 = 20,212,328.5

If the quotient is a whole number, then 2 and 20,212,328.5 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 40,424,657
-1 -40,424,657

Now, we try dividing 40,424,657 by 3:

40,424,657 ÷ 3 = 13,474,885.6667

If the quotient is a whole number, then 3 and 13,474,885.6667 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 40,424,657
-1 -40,424,657

Let's try dividing by 4:

40,424,657 ÷ 4 = 10,106,164.25

If the quotient is a whole number, then 4 and 10,106,164.25 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 40,424,657
-1 40,424,657
Keep dividing by the next highest number until you cannot divide anymore.

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

17131749911192216378331,5473,73310,82926,13148,52963,461182,917339,703444,227824,9932,377,9213,109,5895,774,95140,424,657
-1-7-13-17-49-91-119-221-637-833-1,547-3,733-10,829-26,131-48,529-63,461-182,917-339,703-444,227-824,993-2,377,921-3,109,589-5,774,951-40,424,657

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,424,657:


Ask a Question