Q: What are the factor combinations of the number 42,024,515?

 A:
Positive:   1 x 420245155 x 840490313 x 323265565 x 646531103 x 408005515 x 816011339 x 313856277 x 6695
Negative: -1 x -42024515-5 x -8404903-13 x -3232655-65 x -646531-103 x -408005-515 x -81601-1339 x -31385-6277 x -6695


How do I find the factor combinations of the number 42,024,515?

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 42,024,515, 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 42,024,515
-1 -42,024,515

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 42,024,515.

Example:
1 x 42,024,515 = 42,024,515
and
-1 x -42,024,515 = 42,024,515
Notice both answers equal 42,024,515

With that explanation out of the way, let's continue. Next, we take the number 42,024,515 and divide it by 2:

42,024,515 ÷ 2 = 21,012,257.5

If the quotient is a whole number, then 2 and 21,012,257.5 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 42,024,515
-1 -42,024,515

Now, we try dividing 42,024,515 by 3:

42,024,515 ÷ 3 = 14,008,171.6667

If the quotient is a whole number, then 3 and 14,008,171.6667 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 42,024,515
-1 -42,024,515

Let's try dividing by 4:

42,024,515 ÷ 4 = 10,506,128.75

If the quotient is a whole number, then 4 and 10,506,128.75 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 42,024,515
-1 42,024,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651035151,3396,2776,69531,38581,601408,005646,5313,232,6558,404,90342,024,515
-1-5-13-65-103-515-1,339-6,277-6,695-31,385-81,601-408,005-646,531-3,232,655-8,404,903-42,024,515

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,024,515:


Ask a Question