Q: What are the factor combinations of the number 316,003,025?

 A:
Positive:   1 x 3160030255 x 6320060513 x 2430792525 x 1264012165 x 4861585325 x 972317653 x 4839251489 x 2122253265 x 967857445 x 424458489 x 3722516325 x 19357
Negative: -1 x -316003025-5 x -63200605-13 x -24307925-25 x -12640121-65 x -4861585-325 x -972317-653 x -483925-1489 x -212225-3265 x -96785-7445 x -42445-8489 x -37225-16325 x -19357


How do I find the factor combinations of the number 316,003,025?

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 316,003,025, 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.

1 316,003,025
-1 -316,003,025

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 316,003,025.

Example:
1 x 316,003,025 = 316,003,025
and
-1 x -316,003,025 = 316,003,025
Notice both answers equal 316,003,025

With that explanation out of the way, let's continue. Next, we take the number 316,003,025 and divide it by 2:

316,003,025 ÷ 2 = 158,001,512.5

If the quotient is a whole number, then 2 and 158,001,512.5 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:

1 316,003,025
-1 -316,003,025

Now, we try dividing 316,003,025 by 3:

316,003,025 ÷ 3 = 105,334,341.6667

If the quotient is a whole number, then 3 and 105,334,341.6667 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:

1 316,003,025
-1 -316,003,025

Let's try dividing by 4:

316,003,025 ÷ 4 = 79,000,756.25

If the quotient is a whole number, then 4 and 79,000,756.25 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:

1 316,003,025
-1 316,003,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653256531,4893,2657,4458,48916,32519,35737,22542,44596,785212,225483,925972,3174,861,58512,640,12124,307,92563,200,605316,003,025
-1-5-13-25-65-325-653-1,489-3,265-7,445-8,489-16,325-19,357-37,225-42,445-96,785-212,225-483,925-972,317-4,861,585-12,640,121-24,307,925-63,200,605-316,003,025

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