Q: What are the factor combinations of the number 5,087,225?

 A:
Positive:   1 x 50872255 x 101744511 x 46247513 x 39132525 x 20348955 x 9249565 x 78265143 x 35575275 x 18499325 x 15653715 x 71151423 x 3575
Negative: -1 x -5087225-5 x -1017445-11 x -462475-13 x -391325-25 x -203489-55 x -92495-65 x -78265-143 x -35575-275 x -18499-325 x -15653-715 x -7115-1423 x -3575


How do I find the factor combinations of the number 5,087,225?

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 5,087,225, 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 5,087,225
-1 -5,087,225

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 5,087,225.

Example:
1 x 5,087,225 = 5,087,225
and
-1 x -5,087,225 = 5,087,225
Notice both answers equal 5,087,225

With that explanation out of the way, let's continue. Next, we take the number 5,087,225 and divide it by 2:

5,087,225 ÷ 2 = 2,543,612.5

If the quotient is a whole number, then 2 and 2,543,612.5 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 5,087,225
-1 -5,087,225

Now, we try dividing 5,087,225 by 3:

5,087,225 ÷ 3 = 1,695,741.6667

If the quotient is a whole number, then 3 and 1,695,741.6667 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 5,087,225
-1 -5,087,225

Let's try dividing by 4:

5,087,225 ÷ 4 = 1,271,806.25

If the quotient is a whole number, then 4 and 1,271,806.25 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 5,087,225
-1 5,087,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257151,4233,5757,11515,65318,49935,57578,26592,495203,489391,325462,4751,017,4455,087,225
-1-5-11-13-25-55-65-143-275-325-715-1,423-3,575-7,115-15,653-18,499-35,575-78,265-92,495-203,489-391,325-462,475-1,017,445-5,087,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,087,225:


Ask a Question