Q: What are the factor combinations of the number 32,157,671?

 A:
Positive:   1 x 321576717 x 459395313 x 247366719 x 169250949 x 65627991 x 353381133 x 241787247 x 130193637 x 50483931 x 345411729 x 185992657 x 12103
Negative: -1 x -32157671-7 x -4593953-13 x -2473667-19 x -1692509-49 x -656279-91 x -353381-133 x -241787-247 x -130193-637 x -50483-931 x -34541-1729 x -18599-2657 x -12103


How do I find the factor combinations of the number 32,157,671?

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 32,157,671, 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 32,157,671
-1 -32,157,671

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 32,157,671.

Example:
1 x 32,157,671 = 32,157,671
and
-1 x -32,157,671 = 32,157,671
Notice both answers equal 32,157,671

With that explanation out of the way, let's continue. Next, we take the number 32,157,671 and divide it by 2:

32,157,671 ÷ 2 = 16,078,835.5

If the quotient is a whole number, then 2 and 16,078,835.5 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 32,157,671
-1 -32,157,671

Now, we try dividing 32,157,671 by 3:

32,157,671 ÷ 3 = 10,719,223.6667

If the quotient is a whole number, then 3 and 10,719,223.6667 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 32,157,671
-1 -32,157,671

Let's try dividing by 4:

32,157,671 ÷ 4 = 8,039,417.75

If the quotient is a whole number, then 4 and 8,039,417.75 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 32,157,671
-1 32,157,671
Keep dividing by the next highest number until you cannot divide anymore.

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

17131949911332476379311,7292,65712,10318,59934,54150,483130,193241,787353,381656,2791,692,5092,473,6674,593,95332,157,671
-1-7-13-19-49-91-133-247-637-931-1,729-2,657-12,103-18,599-34,541-50,483-130,193-241,787-353,381-656,279-1,692,509-2,473,667-4,593,953-32,157,671

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