Q: What are the factor combinations of the number 152,003,425?

 A:
Positive:   1 x 1520034255 x 304006857 x 2171477525 x 608013735 x 4342955175 x 868591677 x 2245251283 x 1184753385 x 449054739 x 320756415 x 236958981 x 16925
Negative: -1 x -152003425-5 x -30400685-7 x -21714775-25 x -6080137-35 x -4342955-175 x -868591-677 x -224525-1283 x -118475-3385 x -44905-4739 x -32075-6415 x -23695-8981 x -16925


How do I find the factor combinations of the number 152,003,425?

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 152,003,425, 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.

1 152,003,425
-1 -152,003,425

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 152,003,425.

Example:
1 x 152,003,425 = 152,003,425
and
-1 x -152,003,425 = 152,003,425
Notice both answers equal 152,003,425

With that explanation out of the way, let's continue. Next, we take the number 152,003,425 and divide it by 2:

152,003,425 ÷ 2 = 76,001,712.5

If the quotient is a whole number, then 2 and 76,001,712.5 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:

1 152,003,425
-1 -152,003,425

Now, we try dividing 152,003,425 by 3:

152,003,425 ÷ 3 = 50,667,808.3333

If the quotient is a whole number, then 3 and 50,667,808.3333 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:

1 152,003,425
-1 -152,003,425

Let's try dividing by 4:

152,003,425 ÷ 4 = 38,000,856.25

If the quotient is a whole number, then 4 and 38,000,856.25 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:

1 152,003,425
-1 152,003,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351756771,2833,3854,7396,4158,98116,92523,69532,07544,905118,475224,525868,5914,342,9556,080,13721,714,77530,400,685152,003,425
-1-5-7-25-35-175-677-1,283-3,385-4,739-6,415-8,981-16,925-23,695-32,075-44,905-118,475-224,525-868,591-4,342,955-6,080,137-21,714,775-30,400,685-152,003,425

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