Q: What are the factor combinations of the number 52,331,069?

 A:
Positive:   1 x 523310697 x 747586731 x 168809947 x 111342749 x 1067981217 x 241157329 x 159061733 x 713931457 x 359171519 x 344512303 x 227235131 x 10199
Negative: -1 x -52331069-7 x -7475867-31 x -1688099-47 x -1113427-49 x -1067981-217 x -241157-329 x -159061-733 x -71393-1457 x -35917-1519 x -34451-2303 x -22723-5131 x -10199


How do I find the factor combinations of the number 52,331,069?

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 52,331,069, 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 52,331,069
-1 -52,331,069

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 52,331,069.

Example:
1 x 52,331,069 = 52,331,069
and
-1 x -52,331,069 = 52,331,069
Notice both answers equal 52,331,069

With that explanation out of the way, let's continue. Next, we take the number 52,331,069 and divide it by 2:

52,331,069 ÷ 2 = 26,165,534.5

If the quotient is a whole number, then 2 and 26,165,534.5 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 52,331,069
-1 -52,331,069

Now, we try dividing 52,331,069 by 3:

52,331,069 ÷ 3 = 17,443,689.6667

If the quotient is a whole number, then 3 and 17,443,689.6667 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 52,331,069
-1 -52,331,069

Let's try dividing by 4:

52,331,069 ÷ 4 = 13,082,767.25

If the quotient is a whole number, then 4 and 13,082,767.25 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 52,331,069
-1 52,331,069
Keep dividing by the next highest number until you cannot divide anymore.

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

173147492173297331,4571,5192,3035,13110,19922,72334,45135,91771,393159,061241,1571,067,9811,113,4271,688,0997,475,86752,331,069
-1-7-31-47-49-217-329-733-1,457-1,519-2,303-5,131-10,199-22,723-34,451-35,917-71,393-159,061-241,157-1,067,981-1,113,427-1,688,099-7,475,867-52,331,069

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