Q: What are the factor combinations of the number 3,572,107?

 A:
Positive:   1 x 35721077 x 51030111 x 32473723 x 15530977 x 46391161 x 22187253 x 141191771 x 2017
Negative: -1 x -3572107-7 x -510301-11 x -324737-23 x -155309-77 x -46391-161 x -22187-253 x -14119-1771 x -2017


How do I find the factor combinations of the number 3,572,107?

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 3,572,107, 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 3,572,107
-1 -3,572,107

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 3,572,107.

Example:
1 x 3,572,107 = 3,572,107
and
-1 x -3,572,107 = 3,572,107
Notice both answers equal 3,572,107

With that explanation out of the way, let's continue. Next, we take the number 3,572,107 and divide it by 2:

3,572,107 ÷ 2 = 1,786,053.5

If the quotient is a whole number, then 2 and 1,786,053.5 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 3,572,107
-1 -3,572,107

Now, we try dividing 3,572,107 by 3:

3,572,107 ÷ 3 = 1,190,702.3333

If the quotient is a whole number, then 3 and 1,190,702.3333 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 3,572,107
-1 -3,572,107

Let's try dividing by 4:

3,572,107 ÷ 4 = 893,026.75

If the quotient is a whole number, then 4 and 893,026.75 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 3,572,107
-1 3,572,107
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,7712,01714,11922,18746,391155,309324,737510,3013,572,107
-1-7-11-23-77-161-253-1,771-2,017-14,119-22,187-46,391-155,309-324,737-510,301-3,572,107

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,572,107:


Ask a Question