Q: What are the prime factors of the number 61,024,158?

 A: 2, 3, 13, 86929

Why are those the prime factors of the number 61,024,158?

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 61,024,158

61,024,158
Factor Arrows
230,512,079
Factor Arrows
310,170,693
Factor Arrows
33,390,231
Factor Arrows
31,130,077
Factor Arrows
1386,929

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, 3, 13, 86929

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 86,929 = 61,024,158

This can also be written as 21 x 33 x 131 x 86,9291 = 61,024,158

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


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