Q: What are the factor combinations of the number 51,562,315?

 A:
Positive:   1 x 515623155 x 103124637 x 736604535 x 1473209103 x 500605515 x 100121721 x 715153605 x 14303
Negative: -1 x -51562315-5 x -10312463-7 x -7366045-35 x -1473209-103 x -500605-515 x -100121-721 x -71515-3605 x -14303


How do I find the factor combinations of the number 51,562,315?

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 51,562,315, 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 51,562,315
-1 -51,562,315

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 51,562,315.

Example:
1 x 51,562,315 = 51,562,315
and
-1 x -51,562,315 = 51,562,315
Notice both answers equal 51,562,315

With that explanation out of the way, let's continue. Next, we take the number 51,562,315 and divide it by 2:

51,562,315 ÷ 2 = 25,781,157.5

If the quotient is a whole number, then 2 and 25,781,157.5 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 51,562,315
-1 -51,562,315

Now, we try dividing 51,562,315 by 3:

51,562,315 ÷ 3 = 17,187,438.3333

If the quotient is a whole number, then 3 and 17,187,438.3333 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 51,562,315
-1 -51,562,315

Let's try dividing by 4:

51,562,315 ÷ 4 = 12,890,578.75

If the quotient is a whole number, then 4 and 12,890,578.75 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 51,562,315
-1 51,562,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,60514,30371,515100,121500,6051,473,2097,366,04510,312,46351,562,315
-1-5-7-35-103-515-721-3,605-14,303-71,515-100,121-500,605-1,473,209-7,366,045-10,312,463-51,562,315

More Examples

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