Q: What are the factor combinations of the number 35,359,337?

 A:
Positive:   1 x 3535933713 x 271994917 x 2079961193 x 183209221 x 159997829 x 426532509 x 140933281 x 10777
Negative: -1 x -35359337-13 x -2719949-17 x -2079961-193 x -183209-221 x -159997-829 x -42653-2509 x -14093-3281 x -10777


How do I find the factor combinations of the number 35,359,337?

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 35,359,337, 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 35,359,337
-1 -35,359,337

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 35,359,337.

Example:
1 x 35,359,337 = 35,359,337
and
-1 x -35,359,337 = 35,359,337
Notice both answers equal 35,359,337

With that explanation out of the way, let's continue. Next, we take the number 35,359,337 and divide it by 2:

35,359,337 ÷ 2 = 17,679,668.5

If the quotient is a whole number, then 2 and 17,679,668.5 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 35,359,337
-1 -35,359,337

Now, we try dividing 35,359,337 by 3:

35,359,337 ÷ 3 = 11,786,445.6667

If the quotient is a whole number, then 3 and 11,786,445.6667 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 35,359,337
-1 -35,359,337

Let's try dividing by 4:

35,359,337 ÷ 4 = 8,839,834.25

If the quotient is a whole number, then 4 and 8,839,834.25 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 35,359,337
-1 35,359,337
Keep dividing by the next highest number until you cannot divide anymore.

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

113171932218292,5093,28110,77714,09342,653159,997183,2092,079,9612,719,94935,359,337
-1-13-17-193-221-829-2,509-3,281-10,777-14,093-42,653-159,997-183,209-2,079,961-2,719,949-35,359,337

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