Q: What are the factor combinations of the number 35,488,885?

 A:
Positive:   1 x 354888855 x 709777723 x 154299561 x 581785115 x 308599305 x 1163571403 x 252955059 x 7015
Negative: -1 x -35488885-5 x -7097777-23 x -1542995-61 x -581785-115 x -308599-305 x -116357-1403 x -25295-5059 x -7015


How do I find the factor combinations of the number 35,488,885?

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 35,488,885, 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 35,488,885
-1 -35,488,885

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 35,488,885.

Example:
1 x 35,488,885 = 35,488,885
and
-1 x -35,488,885 = 35,488,885
Notice both answers equal 35,488,885

With that explanation out of the way, let's continue. Next, we take the number 35,488,885 and divide it by 2:

35,488,885 ÷ 2 = 17,744,442.5

If the quotient is a whole number, then 2 and 17,744,442.5 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 35,488,885
-1 -35,488,885

Now, we try dividing 35,488,885 by 3:

35,488,885 ÷ 3 = 11,829,628.3333

If the quotient is a whole number, then 3 and 11,829,628.3333 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 35,488,885
-1 -35,488,885

Let's try dividing by 4:

35,488,885 ÷ 4 = 8,872,221.25

If the quotient is a whole number, then 4 and 8,872,221.25 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 35,488,885
-1 35,488,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1523611153051,4035,0597,01525,295116,357308,599581,7851,542,9957,097,77735,488,885
-1-5-23-61-115-305-1,403-5,059-7,015-25,295-116,357-308,599-581,785-1,542,995-7,097,777-35,488,885

More Examples

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