Q: What are the factor combinations of the number 53,452,531?

 A:
Positive:   1 x 5345253111 x 485932137 x 144466361 x 876271407 x 131333671 x 796612153 x 248272257 x 23683
Negative: -1 x -53452531-11 x -4859321-37 x -1444663-61 x -876271-407 x -131333-671 x -79661-2153 x -24827-2257 x -23683


How do I find the factor combinations of the number 53,452,531?

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 53,452,531, 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 53,452,531
-1 -53,452,531

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 53,452,531.

Example:
1 x 53,452,531 = 53,452,531
and
-1 x -53,452,531 = 53,452,531
Notice both answers equal 53,452,531

With that explanation out of the way, let's continue. Next, we take the number 53,452,531 and divide it by 2:

53,452,531 ÷ 2 = 26,726,265.5

If the quotient is a whole number, then 2 and 26,726,265.5 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 53,452,531
-1 -53,452,531

Now, we try dividing 53,452,531 by 3:

53,452,531 ÷ 3 = 17,817,510.3333

If the quotient is a whole number, then 3 and 17,817,510.3333 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 53,452,531
-1 -53,452,531

Let's try dividing by 4:

53,452,531 ÷ 4 = 13,363,132.75

If the quotient is a whole number, then 4 and 13,363,132.75 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 53,452,531
-1 53,452,531
Keep dividing by the next highest number until you cannot divide anymore.

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

11137614076712,1532,25723,68324,82779,661131,333876,2711,444,6634,859,32153,452,531
-1-11-37-61-407-671-2,153-2,257-23,683-24,827-79,661-131,333-876,271-1,444,663-4,859,321-53,452,531

More Examples

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