Q: What are the prime factors of the number 316,420,112?

 A: 2, 331, 59747

Why are those the prime factors of the number 316,420,112?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 316,420,112

316,420,112
Factor Arrows
2158,210,056
Factor Arrows
279,105,028
Factor Arrows
239,552,514
Factor Arrows
219,776,257
Factor Arrows
33159,747

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 331, 59747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 331 x 59,747 = 316,420,112

This can also be written as 24 x 3311 x 59,7471 = 316,420,112

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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