Q: What are the factor combinations of the number 253,600,429?

 A:
Positive:   1 x 25360042919 x 1334739131 x 8180659557 x 455297589 x 430561773 x 32807310583 x 2396314687 x 17267
Negative: -1 x -253600429-19 x -13347391-31 x -8180659-557 x -455297-589 x -430561-773 x -328073-10583 x -23963-14687 x -17267


How do I find the factor combinations of the number 253,600,429?

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 253,600,429, 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.

1 253,600,429
-1 -253,600,429

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 253,600,429.

Example:
1 x 253,600,429 = 253,600,429
and
-1 x -253,600,429 = 253,600,429
Notice both answers equal 253,600,429

With that explanation out of the way, let's continue. Next, we take the number 253,600,429 and divide it by 2:

253,600,429 ÷ 2 = 126,800,214.5

If the quotient is a whole number, then 2 and 126,800,214.5 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:

1 253,600,429
-1 -253,600,429

Now, we try dividing 253,600,429 by 3:

253,600,429 ÷ 3 = 84,533,476.3333

If the quotient is a whole number, then 3 and 84,533,476.3333 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:

1 253,600,429
-1 -253,600,429

Let's try dividing by 4:

253,600,429 ÷ 4 = 63,400,107.25

If the quotient is a whole number, then 4 and 63,400,107.25 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:

1 253,600,429
-1 253,600,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1193155758977310,58314,68717,26723,963328,073430,561455,2978,180,65913,347,391253,600,429
-1-19-31-557-589-773-10,583-14,687-17,267-23,963-328,073-430,561-455,297-8,180,659-13,347,391-253,600,429

More Examples

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