Q: What are the factor combinations of the number 88,348,337?

 A:
Positive:   1 x 883483377 x 1262119111 x 803166717 x 519696177 x 1147381119 x 742423187 x 4724511309 x 67493
Negative: -1 x -88348337-7 x -12621191-11 x -8031667-17 x -5196961-77 x -1147381-119 x -742423-187 x -472451-1309 x -67493


How do I find the factor combinations of the number 88,348,337?

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 88,348,337, 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 88,348,337
-1 -88,348,337

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 88,348,337.

Example:
1 x 88,348,337 = 88,348,337
and
-1 x -88,348,337 = 88,348,337
Notice both answers equal 88,348,337

With that explanation out of the way, let's continue. Next, we take the number 88,348,337 and divide it by 2:

88,348,337 ÷ 2 = 44,174,168.5

If the quotient is a whole number, then 2 and 44,174,168.5 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 88,348,337
-1 -88,348,337

Now, we try dividing 88,348,337 by 3:

88,348,337 ÷ 3 = 29,449,445.6667

If the quotient is a whole number, then 3 and 29,449,445.6667 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 88,348,337
-1 -88,348,337

Let's try dividing by 4:

88,348,337 ÷ 4 = 22,087,084.25

If the quotient is a whole number, then 4 and 22,087,084.25 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 88,348,337
-1 88,348,337
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,30967,493472,451742,4231,147,3815,196,9618,031,66712,621,19188,348,337
-1-7-11-17-77-119-187-1,309-67,493-472,451-742,423-1,147,381-5,196,961-8,031,667-12,621,191-88,348,337

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